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Otras calculadoras

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Suma de la serie:
(n+1)^(n/2)/factorial(n)
(n^3+3n^2+5)/(n*(n^16+n^4+1)^(1/5))
(i-2)^2
(n^2+1)/5^n
Expresiones idénticas
((dos n-((dos n- uno)(dos n+ uno))^ uno /2)^ uno /2)/2
((2n menos ((2n menos 1)(2n más 1)) en el grado 1 dividir por 2) en el grado 1 dividir por 2) dividir por 2
((dos n menos ((dos n menos uno)(dos n más uno)) en el grado uno dividir por 2) en el grado uno dividir por 2) dividir por 2
((2n-((2n-1)(2n+1))1/2)1/2)/2
2n-2n-12n+11/21/2/2
2n-2n-12n+1^1/2^1/2/2
((2n-((2n-1)(2n+1))^1 dividir por 2)^1 dividir por 2) dividir por 2
Expresiones semejantes
((2n+((2n-1)(2n+1))^1/2)^1/2)/2
((2n-((2n-1)(2n-1))^1/2)^1/2)/2
((2n-((2n+1)(2n+1))^1/2)^1/2)/2

Suma de la serie/ ((2n-((2n-1)(2n+1))^1/2)^1/2)/2

Suma de la serie ((2n-((2n-1)(2n+1))^1/2)^1/2)/2

Solución

Ha introducido [src]

 1011                                   
____                                    
\   `                                   
 \       _______________________________
  \     /         _____________________ 
   )  \/  2*n - \/ (2*n - 1)*(2*n + 1)  
  /   ----------------------------------
 /                    2                 
/___,                                   
n = 1

$$\sum_{n=1}^{1011} \frac{\sqrt{2 n - \sqrt{\left(2 n - 1\right) \left(2 n + 1\right)}}}{2}$$

Sum(sqrt(2*n - sqrt((2*n - 1)*(2*n + 1)))/2, (n, 1, 1011))

Velocidad de la convergencia de la serie

Respuesta [src]

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3*\/ 393547     \/  1884 - \/ 3549455     \/  1886 - \/ 3556995     \/  1888 - \/ 3564543     \/  1890 - \/ 3572099     \/  1892 - \/ 3579663     \/  1894 - \/ 3587235     \/  1896 - \/ 3594815     \/  1898 - 3*\/ 400267     \/  1900 - 3*\/ 401111     \/  1902 - \/ 3617603     \/  1904 - \/ 3625215     \/  1906 - \/ 3632835     \/  1908 - \/ 3640463     \/  1910 - 7*\/ 74451     \/  1912 - 7*\/ 74607     \/  1914 - \/ 3663395     \/  1916 - 3*\/ 407895     \/  1918 - 3*\/ 408747     \/  1920 - \/ 3686399     \/  1922 - \/ 3694083     \/  1924 - 5*\/ 148071     \/  1926 - 5*\/ 148379     \/  1928 - \/ 3717183     \/  1930 - \/ 3724899     \/  1932 - \/ 3732623     \/  1934 - 3*\/ 415595     \/  1936 - 3*\/ 416455     \/  1938 - \/ 3755843     \/  1940 - \/ 3763599     \/  1942 - \/ 3771363     \/  1944 - \/ 3779135     \/  1946 - \/ 3786915     \/  1948 - \/ 3794703     \/  1950 - \/ 3802499     \/  1952 - 3*\/ 423367     \/  1954 - 3*\/ 424235     \/  1956 - \/ 3825935     \/  1958 - \/ 3833763     \/  1960 - \/ 3841599     \/  1962 - \/ 3849443     \/  1964 - \/ 3857295     \/  1966 - \/ 3865155     \/  1968 - \/ 3873023     \/  1970 - 3*\/ 431211     \/  1972 - 3*\/ 432087     \/  1974 - 5*\/ 155867     \/  1976 - 5*\/ 156183     \/  1978 - \/ 3912483     \/  1980 - \/ 3920399     \/  1982 - \/ 3928323     \/  1984 - \/ 3936255     \/  1986 - \/ 3944195     \/  1988 - 3*\/ 439127     \/  1990 - 3*\/ 440011     \/  1992 - \/ 3968063     \/  1994 - \/ 3976035     \/  1996 - \/ 3984015     \/  1998 - \/ 3992003     \/  2000 - \/ 3999999     \/  2002 - \/ 4008003     \/  2004 - \/ 4016015     \/  2006 - 3*\/ 447115     \/  2008 - 21*\/ 9143     \/  2010 - 7*\/ 82451     \/  2012 - \/ 4048143     \/  2014 - \/ 4056195     \/  2016 - \/ 4064255     \/  2018 - \/ 4072323     \/  2020 - \/ 4080399     \/  2022 - 17*\/ 14147  
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$$\frac{\sqrt{2022 - 17 \sqrt{14147}}}{2} + \frac{\sqrt{2020 - \sqrt{4080399}}}{2} + \frac{\sqrt{2018 - \sqrt{4072323}}}{2} + \frac{\sqrt{2016 - \sqrt{4064255}}}{2} + \frac{\sqrt{2014 - \sqrt{4056195}}}{2} + \frac{\sqrt{2012 - \sqrt{4048143}}}{2} + \frac{\sqrt{2010 - 7 \sqrt{82451}}}{2} + \frac{\sqrt{2008 - 21 \sqrt{9143}}}{2} + \frac{\sqrt{2006 - 3 \sqrt{447115}}}{2} + \frac{\sqrt{2004 - \sqrt{4016015}}}{2} + \frac{\sqrt{2002 - \sqrt{4008003}}}{2} + \frac{\sqrt{2000 - \sqrt{3999999}}}{2} + \frac{\sqrt{1998 - \sqrt{3992003}}}{2} + \frac{\sqrt{1996 - \sqrt{3984015}}}{2} + \frac{\sqrt{1994 - \sqrt{3976035}}}{2} + \frac{\sqrt{1992 - \sqrt{3968063}}}{2} + \frac{\sqrt{1990 - 3 \sqrt{440011}}}{2} + \frac{\sqrt{1988 - 3 \sqrt{439127}}}{2} + \frac{\sqrt{1986 - \sqrt{3944195}}}{2} + \frac{\sqrt{1984 - \sqrt{3936255}}}{2} + \frac{\sqrt{1982 - \sqrt{3928323}}}{2} + \frac{\sqrt{1980 - \sqrt{3920399}}}{2} + \frac{\sqrt{1978 - \sqrt{3912483}}}{2} + \frac{\sqrt{1976 - 5 \sqrt{156183}}}{2} + \frac{\sqrt{1974 - 5 \sqrt{155867}}}{2} + \frac{\sqrt{1972 - 3 \sqrt{432087}}}{2} + \frac{\sqrt{1970 - 3 \sqrt{431211}}}{2} + \frac{\sqrt{1968 - \sqrt{3873023}}}{2} + \frac{\sqrt{1966 - \sqrt{3865155}}}{2} + \frac{\sqrt{1964 - \sqrt{3857295}}}{2} + \frac{\sqrt{1962 - \sqrt{3849443}}}{2} + \frac{\sqrt{1960 - \sqrt{3841599}}}{2} + \frac{\sqrt{1958 - \sqrt{3833763}}}{2} + \frac{\sqrt{1956 - \sqrt{3825935}}}{2} + \frac{\sqrt{1954 - 3 \sqrt{424235}}}{2} + \frac{\sqrt{1952 - 3 \sqrt{423367}}}{2} + \frac{\sqrt{1950 - \sqrt{3802499}}}{2} + \frac{\sqrt{1948 - \sqrt{3794703}}}{2} + \frac{\sqrt{1946 - \sqrt{3786915}}}{2} + \frac{\sqrt{1944 - \sqrt{3779135}}}{2} + \frac{\sqrt{1942 - \sqrt{3771363}}}{2} + \frac{\sqrt{1940 - \sqrt{3763599}}}{2} + \frac{\sqrt{1938 - \sqrt{3755843}}}{2} + \frac{\sqrt{1936 - 3 \sqrt{416455}}}{2} + \frac{\sqrt{1934 - 3 \sqrt{415595}}}{2} + \frac{\sqrt{1932 - \sqrt{3732623}}}{2} + \frac{\sqrt{1930 - \sqrt{3724899}}}{2} + \frac{\sqrt{1928 - \sqrt{3717183}}}{2} + \frac{\sqrt{1926 - 5 \sqrt{148379}}}{2} + \frac{\sqrt{1924 - 5 \sqrt{148071}}}{2} + \frac{\sqrt{1922 - \sqrt{3694083}}}{2} + \frac{\sqrt{1920 - \sqrt{3686399}}}{2} + \frac{\sqrt{1918 - 3 \sqrt{408747}}}{2} + \frac{\sqrt{1916 - 3 \sqrt{407895}}}{2} + \frac{\sqrt{1914 - \sqrt{3663395}}}{2} + \frac{\sqrt{1912 - 7 \sqrt{74607}}}{2} + \frac{\sqrt{1910 - 7 \sqrt{74451}}}{2} + \frac{\sqrt{1908 - \sqrt{3640463}}}{2} + \frac{\sqrt{1906 - \sqrt{3632835}}}{2} + \frac{\sqrt{1904 - \sqrt{3625215}}}{2} + \frac{\sqrt{1902 - \sqrt{3617603}}}{2} + \frac{\sqrt{1900 - 3 \sqrt{401111}}}{2} + \frac{\sqrt{1898 - 3 \sqrt{400267}}}{2} + \frac{\sqrt{1896 - \sqrt{3594815}}}{2} + \frac{\sqrt{1894 - \sqrt{3587235}}}{2} + \frac{\sqrt{1892 - \sqrt{3579663}}}{2} + \frac{\sqrt{1890 - \sqrt{3572099}}}{2} + \frac{\sqrt{1888 - \sqrt{3564543}}}{2} + \frac{\sqrt{1886 - \sqrt{3556995}}}{2} + \frac{\sqrt{1884 - \sqrt{3549455}}}{2} + \frac{\sqrt{1882 - 3 \sqrt{393547}}}{2} + \frac{\sqrt{1880 - 3 \sqrt{392711}}}{2} + \frac{\sqrt{1878 - \sqrt{3526883}}}{2} + \frac{\sqrt{1876 - 25 \sqrt{5631}}}{2} + \frac{\sqrt{1874 - 25 \sqrt{5619}}}{2} + \frac{\sqrt{1872 - \sqrt{3504383}}}{2} + \frac{\sqrt{1870 - \sqrt{3496899}}}{2} + \frac{\sqrt{1868 - \sqrt{3489423}}}{2} + \frac{\sqrt{1866 - \sqrt{3481955}}}{2} + \frac{\sqrt{1864 - 9 \sqrt{42895}}}{2} + \frac{\sqrt{1862 - 9 \sqrt{42803}}}{2} + \frac{\sqrt{1860 - 13 \sqrt{20471}}}{2} + \frac{\sqrt{1858 - 13 \sqrt{20427}}}{2} + \frac{\sqrt{1856 - \sqrt{3444735}}}{2} + \frac{\sqrt{1854 - \sqrt{3437315}}}{2} + \frac{\sqrt{1852 - \sqrt{3429903}}}{2} + \frac{\sqrt{1850 - 43 \sqrt{1851}}}{2} + \frac{\sqrt{1848 - 43 \sqrt{1847}}}{2} + \frac{\sqrt{1846 - 3 \sqrt{378635}}}{2} + \frac{\sqrt{1844 - 3 \sqrt{377815}}}{2} + \frac{\sqrt{1842 - \sqrt{3392963}}}{2} + \frac{\sqrt{1840 - \sqrt{3385599}}}{2} + \frac{\sqrt{1838 - \sqrt{3378243}}}{2} + \frac{\sqrt{1836 - \sqrt{3370895}}}{2} + \frac{\sqrt{1834 - \sqrt{3363555}}}{2} + \frac{\sqrt{1832 - \sqrt{3356223}}}{2} + \frac{\sqrt{1830 - \sqrt{3348899}}}{2} + \frac{\sqrt{1828 - 3 \sqrt{371287}}}{2} + \frac{\sqrt{1826 - 15 \sqrt{14819}}}{2} + \frac{\sqrt{1824 - 5 \sqrt{133079}}}{2} + \frac{\sqrt{1822 - \sqrt{3319683}}}{2} + \frac{\sqrt{1820 - \sqrt{3312399}}}{2} + \frac{\sqrt{1818 - \sqrt{3305123}}}{2} + \frac{\sqrt{1816 - 11 \sqrt{27255}}}{2} + \frac{\sqrt{1814 - 77 \sqrt{555}}}{2} + \frac{\sqrt{1812 - 7 \sqrt{67007}}}{2} + \frac{\sqrt{1810 - 3 \sqrt{364011}}}{2} + \frac{\sqrt{1808 - 3 \sqrt{363207}}}{2} + \frac{\sqrt{1806 - 19 \sqrt{9035}}}{2} + \frac{\sqrt{1804 - 19 \sqrt{9015}}}{2} + \frac{\sqrt{1802 - \sqrt{3247203}}}{2} + \frac{\sqrt{1800 - \sqrt{3239999}}}{2} + \frac{\sqrt{1798 - \sqrt{3232803}}}{2} + \frac{\sqrt{1796 - \sqrt{3225615}}}{2} + \frac{\sqrt{1794 - \sqrt{3218435}}}{2} + \frac{\sqrt{1792 - 3 \sqrt{356807}}}{2} + \frac{\sqrt{1790 - 3 \sqrt{356011}}}{2} + \frac{\sqrt{1788 - \sqrt{3196943}}}{2} + \frac{\sqrt{1786 - \sqrt{3189795}}}{2} + \frac{\sqrt{1784 - \sqrt{3182655}}}{2} + \frac{\sqrt{1782 - \sqrt{3175523}}}{2} + \frac{\sqrt{1780 - \sqrt{3168399}}}{2} + \frac{\sqrt{1778 - \sqrt{3161283}}}{2} + \frac{\sqrt{1776 - 5 \sqrt{126167}}}{2} + \frac{\sqrt{1774 - 15 \sqrt{13987}}}{2} + \frac{\sqrt{1772 - 3 \sqrt{348887}}}{2} + \frac{\sqrt{1770 - \sqrt{3132899}}}{2} + \frac{\sqrt{1768 - \sqrt{3125823}}}{2} + \frac{\sqrt{1766 - \sqrt{3118755}}}{2} + \frac{\sqrt{1764 - \sqrt{3111695}}}{2} + \frac{\sqrt{1762 - \sqrt{3104643}}}{2} + \frac{\sqrt{1760 - \sqrt{3097599}}}{2} + \frac{\sqrt{1758 - \sqrt{3090563}}}{2} + \frac{\sqrt{1756 - 3 \sqrt{342615}}}{2} + \frac{\sqrt{1754 - 3 \sqrt{341835}}}{2} + \frac{\sqrt{1752 - \sqrt{3069503}}}{2} + \frac{\sqrt{1750 - \sqrt{3062499}}}{2} + \frac{\sqrt{1748 - \sqrt{3055503}}}{2} + \frac{\sqrt{1746 - \sqrt{3048515}}}{2} + \frac{\sqrt{1744 - \sqrt{3041535}}}{2} + \frac{\sqrt{1742 - \sqrt{3034563}}}{2} + \frac{\sqrt{1740 - \sqrt{3027599}}}{2} + \frac{\sqrt{1738 - 3 \sqrt{335627}}}{2} + \frac{\sqrt{1736 - 3 \sqrt{334855}}}{2} + \frac{\sqrt{1734 - \sqrt{3006755}}}{2} + \frac{\sqrt{1732 - \sqrt{2999823}}}{2} + \frac{\sqrt{1730 - \sqrt{2992899}}}{2} + \frac{\sqrt{1728 - \sqrt{2985983}}}{2} + \frac{\sqrt{1726 - 5 \sqrt{119163}}}{2} + \frac{\sqrt{1724 - 5 \sqrt{118887}}}{2} + \frac{\sqrt{1722 - \sqrt{2965283}}}{2} + \frac{\sqrt{1720 - 3 \sqrt{328711}}}{2} + \frac{\sqrt{1718 - 3 \sqrt{327947}}}{2} + \frac{\sqrt{1716 - 7 \sqrt{60095}}}{2} + \frac{\sqrt{1714 - 7 \sqrt{59955}}}{2} + \frac{\sqrt{1712 - \sqrt{2930943}}}{2} + \frac{\sqrt{1710 - \sqrt{2924099}}}{2} + \frac{\sqrt{1708 - \sqrt{2917263}}}{2} + \frac{\sqrt{1706 - \sqrt{2910435}}}{2} + \frac{\sqrt{1704 - \sqrt{2903615}}}{2} + \frac{\sqrt{1702 - 9 \sqrt{35763}}}{2} + \frac{\sqrt{1700 - 9 \sqrt{35679}}}{2} + \frac{\sqrt{1698 - \sqrt{2883203}}}{2} + \frac{\sqrt{1696 - \sqrt{2876415}}}{2} + \frac{\sqrt{1694 - \sqrt{2869635}}}{2} + \frac{\sqrt{1692 - \sqrt{2862863}}}{2} + \frac{\sqrt{1690 - \sqrt{2856099}}}{2} + \frac{\sqrt{1688 - \sqrt{2849343}}}{2} + \frac{\sqrt{1686 - \sqrt{2842595}}}{2} + \frac{\sqrt{1684 - 3 \sqrt{315095}}}{2} + \frac{\sqrt{1682 - 123 \sqrt{187}}}{2} + \frac{\sqrt{1680 - 41 \sqrt{1679}}}{2} + \frac{\sqrt{1678 - \sqrt{2815683}}}{2} + \frac{\sqrt{1676 - 5 \sqrt{112359}}}{2} + \frac{\sqrt{1674 - 5 \sqrt{112091}}}{2} + \frac{\sqrt{1672 - \sqrt{2795583}}}{2} + \frac{\sqrt{1670 - \sqrt{2788899}}}{2} + \frac{\sqrt{1668 - \sqrt{2782223}}}{2} + \frac{\sqrt{1666 - 3 \sqrt{308395}}}{2} + \frac{\sqrt{1664 - 3 \sqrt{307655}}}{2} + \frac{\sqrt{1662 - \sqrt{2762243}}}{2} + \frac{\sqrt{1660 - \sqrt{2755599}}}{2} + \frac{\sqrt{1658 - \sqrt{2748963}}}{2} + \frac{\sqrt{1656 - \sqrt{2742335}}}{2} + \frac{\sqrt{1654 - \sqrt{2735715}}}{2} + \frac{\sqrt{1652 - \sqrt{2729103}}}{2} + \frac{\sqrt{1650 - \sqrt{2722499}}}{2} + \frac{\sqrt{1648 - 3 \sqrt{301767}}}{2} + \frac{\sqrt{1646 - 3 \sqrt{301035}}}{2} + \frac{\sqrt{1644 - \sqrt{2702735}}}{2} + \frac{\sqrt{1642 - \sqrt{2696163}}}{2} + \frac{\sqrt{1640 - \sqrt{2689599}}}{2} + \frac{\sqrt{1638 - \sqrt{2683043}}}{2} + \frac{\sqrt{1636 - \sqrt{2676495}}}{2} + \frac{\sqrt{1634 - \sqrt{2669955}}}{2} + \frac{\sqrt{1632 - \sqrt{2663423}}}{2} + \frac{\sqrt{1630 - 3 \sqrt{295211}}}{2} + \frac{\sqrt{1628 - 3 \sqrt{294487}}}{2} + \frac{\sqrt{1626 - 5 \sqrt{105755}}}{2} + \frac{\sqrt{1624 - 5 \sqrt{105495}}}{2} + \frac{\sqrt{1622 - \sqrt{2630883}}}{2} + \frac{\sqrt{1620 - \sqrt{2624399}}}{2} + \frac{\sqrt{1618 - 7 \sqrt{53427}}}{2} + \frac{\sqrt{1616 - 7 \sqrt{53295}}}{2} + \frac{\sqrt{1614 - \sqrt{2604995}}}{2} + \frac{\sqrt{1612 - 3 \sqrt{288727}}}{2} + \frac{\sqrt{1610 - 3 \sqrt{288011}}}{2} + \frac{\sqrt{1608 - \sqrt{2585663}}}{2} + \frac{\sqrt{1606 - \sqrt{2579235}}}{2} + \frac{\sqrt{1604 - \sqrt{2572815}}}{2} + \frac{\sqrt{1602 - \sqrt{2566403}}}{2} + \frac{\sqrt{1600 - \sqrt{2559999}}}{2} + \frac{\sqrt{1598 - \sqrt{2553603}}}{2} + \frac{\sqrt{1596 - \sqrt{2547215}}}{2} + \frac{\sqrt{1594 - 3 \sqrt{282315}}}{2} + \frac{\sqrt{1592 - 3 \sqrt{281607}}}{2} + \frac{\sqrt{1590 - \sqrt{2528099}}}{2} + \frac{\sqrt{1588 - 23 \sqrt{4767}}}{2} + \frac{\sqrt{1586 - 23 \sqrt{4755}}}{2} + \frac{\sqrt{1584 - \sqrt{2509055}}}{2} + \frac{\sqrt{1582 - \sqrt{2502723}}}{2} + \frac{\sqrt{1580 - \sqrt{2496399}}}{2} + \frac{\sqrt{1578 - \sqrt{2490083}}}{2} + \frac{\sqrt{1576 - 15 \sqrt{11039}}}{2} + \frac{\sqrt{1574 - 165 \sqrt{91}}}{2} + \frac{\sqrt{1572 - 11 \sqrt{20423}}}{2} + \frac{\sqrt{1570 - \sqrt{2464899}}}{2} + \frac{\sqrt{1568 - \sqrt{2458623}}}{2} + \frac{\sqrt{1566 - \sqrt{2452355}}}{2} + \frac{\sqrt{1564 - \sqrt{2446095}}}{2} + \frac{\sqrt{1562 - \sqrt{2439843}}}{2} + \frac{\sqrt{1560 - \sqrt{2433599}}}{2} + \frac{\sqrt{1558 - 3 \sqrt{269707}}}{2} + \frac{\sqrt{1556 - 3 \sqrt{269015}}}{2} + \frac{\sqrt{1554 - \sqrt{2414915}}}{2} + \frac{\sqrt{1552 - \sqrt{2408703}}}{2} + \frac{\sqrt{1550 - \sqrt{2402499}}}{2} + \frac{\sqrt{1548 - \sqrt{2396303}}}{2} + \frac{\sqrt{1546 - \sqrt{2390115}}}{2} + \frac{\sqrt{1544 - \sqrt{2383935}}}{2} + \frac{\sqrt{1542 - \sqrt{2377763}}}{2} + \frac{\sqrt{1540 - 9 \sqrt{29279}}}{2} + \frac{\sqrt{1538 - 9 \sqrt{29203}}}{2} + \frac{\sqrt{1536 - \sqrt{2359295}}}{2} + \frac{\sqrt{1534 - \sqrt{2353155}}}{2} + \frac{\sqrt{1532 - \sqrt{2347023}}}{2} + \frac{\sqrt{1530 - \sqrt{2340899}}}{2} + \frac{\sqrt{1528 - \sqrt{2334783}}}{2} + \frac{\sqrt{1526 - 5 \sqrt{93147}}}{2} + \frac{\sqrt{1524 - 5 \sqrt{92903}}}{2} + \frac{\sqrt{1522 - 39 \sqrt{1523}}}{2} + \frac{\sqrt{1520 - 273 \sqrt{31}}}{2} + \frac{\sqrt{1518 - 7 \sqrt{47027}}}{2} + \frac{\sqrt{1516 - \sqrt{2298255}}}{2} + \frac{\sqrt{1514 - \sqrt{2292195}}}{2} + \frac{\sqrt{1512 - \sqrt{2286143}}}{2} + \frac{\sqrt{1510 - \sqrt{2280099}}}{2} + \frac{\sqrt{1508 - \sqrt{2274063}}}{2} + \frac{\sqrt{1506 - \sqrt{2268035}}}{2} + \frac{\sqrt{1504 - 3 \sqrt{251335}}}{2} + \frac{\sqrt{1502 - 3 \sqrt{250667}}}{2} + \frac{\sqrt{1500 - \sqrt{2249999}}}{2} + \frac{\sqrt{1498 - \sqrt{2244003}}}{2} + \frac{\sqrt{1496 - \sqrt{2238015}}}{2} + \frac{\sqrt{1494 - \sqrt{2232035}}}{2} + \frac{\sqrt{1492 - \sqrt{2226063}}}{2} + \frac{\sqrt{1490 - \sqrt{2220099}}}{2} + \frac{\sqrt{1488 - \sqrt{2214143}}}{2} + \frac{\sqrt{1486 - 3 \sqrt{245355}}}{2} + \frac{\sqrt{1484 - 3 \sqrt{244695}}}{2} + \frac{\sqrt{1482 - \sqrt{2196323}}}{2} + \frac{\sqrt{1480 - \sqrt{2190399}}}{2} + \frac{\sqrt{1478 - \sqrt{2184483}}}{2} + \frac{\sqrt{1476 - 5 \sqrt{87143}}}{2} + \frac{\sqrt{1474 - 5 \sqrt{86907}}}{2} + \frac{\sqrt{1472 - \sqrt{2166783}}}{2} + \frac{\sqrt{1470 - \sqrt{2160899}}}{2} + \frac{\sqrt{1468 - 3 \sqrt{239447}}}{2} + \frac{\sqrt{1466 - 3 \sqrt{238795}}}{2} + \frac{\sqrt{1464 - \sqrt{2143295}}}{2} + \frac{\sqrt{1462 - \sqrt{2137443}}}{2} + \frac{\sqrt{1460 - \sqrt{2131599}}}{2} + \frac{\sqrt{1458 - \sqrt{2125763}}}{2} + \frac{\sqrt{1456 - \sqrt{2119935}}}{2} + \frac{\sqrt{1454 - \sqrt{2114115}}}{2} + \frac{\sqrt{1452 - \sqrt{2108303}}}{2} + \frac{\sqrt{1450 - 3 \sqrt{233611}}}{2} + \frac{\sqrt{1448 - 3 \sqrt{232967}}}{2} + \frac{\sqrt{1446 - 17 \sqrt{7235}}}{2} + \frac{\sqrt{1444 - 17 \sqrt{7215}}}{2} + \frac{\sqrt{1442 - \sqrt{2079363}}}{2} + \frac{\sqrt{1440 - \sqrt{2073599}}}{2} + \frac{\sqrt{1438 - \sqrt{2067843}}}{2} + \frac{\sqrt{1436 - \sqrt{2062095}}}{2} + \frac{\sqrt{1434 - \sqrt{2056355}}}{2} + \frac{\sqrt{1432 - 3 \sqrt{227847}}}{2} + \frac{\sqrt{1430 - 3 \sqrt{227211}}}{2} + \frac{\sqrt{1428 - \sqrt{2039183}}}{2} + \frac{\sqrt{1426 - 5 \sqrt{81339}}}{2} + \frac{\sqrt{1424 - 5 \sqrt{81111}}}{2} + \frac{\sqrt{1422 - 7 \sqrt{41267}}}{2} + \frac{\sqrt{1420 - 7 \sqrt{41151}}}{2} + \frac{\sqrt{1418 - \sqrt{2010723}}}{2} + \frac{\sqrt{1416 - \sqrt{2005055}}}{2} + \frac{\sqrt{1414 - 3 \sqrt{222155}}}{2} + \frac{\sqrt{1412 - 3 \sqrt{221527}}}{2} + \frac{\sqrt{1410 - \sqrt{1988099}}}{2} + \frac{\sqrt{1408 - \sqrt{1982463}}}{2} + \frac{\sqrt{1406 - \sqrt{1976835}}}{2} + \frac{\sqrt{1404 - \sqrt{1971215}}}{2} + \frac{\sqrt{1402 - \sqrt{1965603}}}{2} + \frac{\sqrt{1400 - \sqrt{1959999}}}{2} + \frac{\sqrt{1398 - \sqrt{1954403}}}{2} + \frac{\sqrt{1396 - 3 \sqrt{216535}}}{2} + \frac{\sqrt{1394 - 3 \sqrt{215915}}}{2} + \frac{\sqrt{1392 - \sqrt{1937663}}}{2} + \frac{\sqrt{1390 - \sqrt{1932099}}}{2} + \frac{\sqrt{1388 - \sqrt{1926543}}}{2} + \frac{\sqrt{1386 - \sqrt{1920995}}}{2} + \frac{\sqrt{1384 - \sqrt{1915455}}}{2} + \frac{\sqrt{1382 - \sqrt{1909923}}}{2} + \frac{\sqrt{1380 - \sqrt{1904399}}}{2} + \frac{\sqrt{1378 - 9 \sqrt{23443}}}{2} + \frac{\sqrt{1376 - 45 \sqrt{935}}}{2} + \frac{\sqrt{1374 - 5 \sqrt{75515}}}{2} + \frac{\sqrt{1372 - \sqrt{1882383}}}{2} + \frac{\sqrt{1370 - 37 \sqrt{1371}}}{2} + \frac{\sqrt{1368 - 37 \sqrt{1367}}}{2} + \frac{\sqrt{1366 - \sqrt{1865955}}}{2} + \frac{\sqrt{1364 - \sqrt{1860495}}}{2} + \frac{\sqrt{1362 - \sqrt{1855043}}}{2} + \frac{\sqrt{1360 - 3 \sqrt{205511}}}{2} + \frac{\sqrt{1358 - 3 \sqrt{204907}}}{2} + \frac{\sqrt{1356 - \sqrt{1838735}}}{2} + \frac{\sqrt{1354 - \sqrt{1833315}}}{2} + \frac{\sqrt{1352 - \sqrt{1827903}}}{2} + \frac{\sqrt{1350 - \sqrt{1822499}}}{2} + \frac{\sqrt{1348 - \sqrt{1817103}}}{2} + \frac{\sqrt{1346 - \sqrt{1811715}}}{2} + \frac{\sqrt{1344 - \sqrt{1806335}}}{2} + \frac{\sqrt{1342 - 3 \sqrt{200107}}}{2} + \frac{\sqrt{1340 - 3 \sqrt{199511}}}{2} + \frac{\sqrt{1338 - \sqrt{1790243}}}{2} + \frac{\sqrt{1336 - \sqrt{1784895}}}{2} + \frac{\sqrt{1334 - \sqrt{1779555}}}{2} + \frac{\sqrt{1332 - 11 \sqrt{14663}}}{2} + \frac{\sqrt{1330 - 11 \sqrt{14619}}}{2} + \frac{\sqrt{1328 - \sqrt{1763583}}}{2} + \frac{\sqrt{1326 - 5 \sqrt{70331}}}{2} + \frac{\sqrt{1324 - 105 \sqrt{159}}}{2} + \frac{\sqrt{1322 - 21 \sqrt{3963}}}{2} + \frac{\sqrt{1320 - \sqrt{1742399}}}{2} + \frac{\sqrt{1318 - \sqrt{1737123}}}{2} + \frac{\sqrt{1316 - \sqrt{1731855}}}{2} + \frac{\sqrt{1314 - \sqrt{1726595}}}{2} + \frac{\sqrt{1312 - \sqrt{1721343}}}{2} + \frac{\sqrt{1310 - \sqrt{1716099}}}{2} + \frac{\sqrt{1308 - \sqrt{1710863}}}{2} + \frac{\sqrt{1306 - 3 \sqrt{189515}}}{2} + \frac{\sqrt{1304 - 3 \sqrt{188935}}}{2} + \frac{\sqrt{1302 - \sqrt{1695203}}}{2} + \frac{\sqrt{1300 - \sqrt{1689999}}}{2} + \frac{\sqrt{1298 - \sqrt{1684803}}}{2} + \frac{\sqrt{1296 - \sqrt{1679615}}}{2} + \frac{\sqrt{1294 - \sqrt{1674435}}}{2} + \frac{\sqrt{1292 - \sqrt{1669263}}}{2} + \frac{\sqrt{1290 - \sqrt{1664099}}}{2} + \frac{\sqrt{1288 - 3 \sqrt{184327}}}{2} + \frac{\sqrt{1286 - 3 \sqrt{183755}}}{2} + \frac{\sqrt{1284 - \sqrt{1648655}}}{2} + \frac{\sqrt{1282 - \sqrt{1643523}}}{2} + \frac{\sqrt{1280 - \sqrt{1638399}}}{2} + \frac{\sqrt{1278 - \sqrt{1633283}}}{2} + \frac{\sqrt{1276 - 5 \sqrt{65127}}}{2} + \frac{\sqrt{1274 - 5 \sqrt{64923}}}{2} + \frac{\sqrt{1272 - \sqrt{1617983}}}{2} + \frac{\sqrt{1270 - 3 \sqrt{179211}}}{2} + \frac{\sqrt{1268 - 3 \sqrt{178647}}}{2} + \frac{\sqrt{1266 - \sqrt{1602755}}}{2} + \frac{\sqrt{1264 - \sqrt{1597695}}}{2} + \frac{\sqrt{1262 - \sqrt{1592643}}}{2} + \frac{\sqrt{1260 - \sqrt{1587599}}}{2} + \frac{\sqrt{1258 - \sqrt{1582563}}}{2} + \frac{\sqrt{1256 - \sqrt{1577535}}}{2} + \frac{\sqrt{1254 - \sqrt{1572515}}}{2} + \frac{\sqrt{1252 - 3 \sqrt{174167}}}{2} + \frac{\sqrt{1250 - 3 \sqrt{173611}}}{2} + \frac{\sqrt{1248 - \sqrt{1557503}}}{2} + \frac{\sqrt{1246 - \sqrt{1552515}}}{2} + \frac{\sqrt{1244 - \sqrt{1547535}}}{2} + \frac{\sqrt{1242 - \sqrt{1542563}}}{2} + \frac{\sqrt{1240 - \sqrt{1537599}}}{2} + \frac{\sqrt{1238 - \sqrt{1532643}}}{2} + \frac{\sqrt{1236 - \sqrt{1527695}}}{2} + \frac{\sqrt{1234 - 3 \sqrt{169195}}}{2} + \frac{\sqrt{1232 - 3 \sqrt{168647}}}{2} + \frac{\sqrt{1230 - \sqrt{1512899}}}{2} + \frac{\sqrt{1228 - \sqrt{1507983}}}{2} + \frac{\sqrt{1226 - 35 \sqrt{1227}}}{2} + \frac{\sqrt{1224 - 35 \sqrt{1223}}}{2} + \frac{\sqrt{1222 - \sqrt{1493283}}}{2} + \frac{\sqrt{1220 - \sqrt{1488399}}}{2} + \frac{\sqrt{1218 - \sqrt{1483523}}}{2} + \frac{\sqrt{1216 - 9 \sqrt{18255}}}{2} + \frac{\sqrt{1214 - 9 \sqrt{18195}}}{2} + \frac{\sqrt{1212 - \sqrt{1468943}}}{2} + \frac{\sqrt{1210 - \sqrt{1464099}}}{2} + \frac{\sqrt{1208 - \sqrt{1459263}}}{2} + \frac{\sqrt{1206 - \sqrt{1454435}}}{2} + \frac{\sqrt{1204 - \sqrt{1449615}}}{2} + \frac{\sqrt{1202 - \sqrt{1444803}}}{2} + \frac{\sqrt{1200 - \sqrt{1439999}}}{2} + \frac{\sqrt{1198 - 3 \sqrt{159467}}}{2} + \frac{\sqrt{1196 - 3 \sqrt{158935}}}{2} + \frac{\sqrt{1194 - \sqrt{1425635}}}{2} + \frac{\sqrt{1192 - \sqrt{1420863}}}{2} + \frac{\sqrt{1190 - \sqrt{1416099}}}{2} + \frac{\sqrt{1188 - \sqrt{1411343}}}{2} + \frac{\sqrt{1186 - \sqrt{1406595}}}{2} + \frac{\sqrt{1184 - 13 \sqrt{8295}}}{2} + \frac{\sqrt{1182 - 13 \sqrt{8267}}}{2} + \frac{\sqrt{1180 - 3 \sqrt{154711}}}{2} + \frac{\sqrt{1178 - 3 \sqrt{154187}}}{2} + \frac{\sqrt{1176 - 5 \sqrt{55319}}}{2} + \frac{\sqrt{1174 - 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3 \sqrt{13611}}}{2} + \frac{\sqrt{348 - \sqrt{121103}}}{2} + \frac{\sqrt{346 - \sqrt{119715}}}{2} + \frac{\sqrt{344 - 7 \sqrt{2415}}}{2} + \frac{\sqrt{342 - 7 \sqrt{2387}}}{2} + \frac{\sqrt{340 - \sqrt{115599}}}{2} + \frac{\sqrt{338 - \sqrt{114243}}}{2} + \frac{\sqrt{336 - \sqrt{112895}}}{2} + \frac{\sqrt{334 - 3 \sqrt{12395}}}{2} + \frac{\sqrt{332 - 3 \sqrt{12247}}}{2} + \frac{\sqrt{330 - \sqrt{108899}}}{2} + \frac{\sqrt{328 - \sqrt{107583}}}{2} + \frac{\sqrt{326 - 5 \sqrt{4251}}}{2} + \frac{\sqrt{324 - 5 \sqrt{4199}}}{2} + \frac{\sqrt{322 - \sqrt{103683}}}{2} + \frac{\sqrt{320 - \sqrt{102399}}}{2} + \frac{\sqrt{318 - \sqrt{101123}}}{2} + \frac{\sqrt{316 - 3 \sqrt{11095}}}{2} + \frac{\sqrt{314 - 3 \sqrt{10955}}}{2} + \frac{\sqrt{312 - \sqrt{97343}}}{2} + \frac{\sqrt{310 - \sqrt{96099}}}{2} + \frac{\sqrt{308 - \sqrt{94863}}}{2} + \frac{\sqrt{306 - \sqrt{93635}}}{2} + \frac{\sqrt{304 - \sqrt{92415}}}{2} + \frac{\sqrt{302 - \sqrt{91203}}}{2} + \frac{\sqrt{300 - \sqrt{89999}}}{2} + \frac{\sqrt{298 - 3 \sqrt{9867}}}{2} + \frac{\sqrt{296 - 3 \sqrt{9735}}}{2} + \frac{\sqrt{294 - \sqrt{86435}}}{2} + \frac{\sqrt{292 - \sqrt{85263}}}{2} + \frac{\sqrt{290 - 17 \sqrt{291}}}{2} + \frac{\sqrt{288 - 17 \sqrt{287}}}{2} + \frac{\sqrt{286 - \sqrt{81795}}}{2} + \frac{\sqrt{284 - \sqrt{80655}}}{2} + \frac{\sqrt{282 - \sqrt{79523}}}{2} + \frac{\sqrt{280 - 3 \sqrt{8711}}}{2} + \frac{\sqrt{278 - 3 \sqrt{8587}}}{2} + \frac{\sqrt{276 - 5 \sqrt{3047}}}{2} + \frac{\sqrt{274 - 5 \sqrt{3003}}}{2} + \frac{\sqrt{272 - \sqrt{73983}}}{2} + \frac{\sqrt{270 - \sqrt{72899}}}{2} + \frac{\sqrt{268 - \sqrt{71823}}}{2} + \frac{\sqrt{266 - \sqrt{70755}}}{2} + \frac{\sqrt{264 - \sqrt{69695}}}{2} + \frac{\sqrt{262 - 3 \sqrt{7627}}}{2} + \frac{\sqrt{260 - 3 \sqrt{7511}}}{2} + \frac{\sqrt{258 - \sqrt{66563}}}{2} + \frac{\sqrt{256 - \sqrt{65535}}}{2} + \frac{\sqrt{254 - \sqrt{64515}}}{2} + \frac{\sqrt{252 - \sqrt{63503}}}{2} + \frac{\sqrt{250 - \sqrt{62499}}}{2} + \frac{\sqrt{248 - \sqrt{61503}}}{2} + \frac{\sqrt{246 - 7 \sqrt{1235}}}{2} + \frac{\sqrt{244 - 63 \sqrt{15}}}{2} + \frac{\sqrt{242 - 9 \sqrt{723}}}{2} + \frac{\sqrt{240 - \sqrt{57599}}}{2} + \frac{\sqrt{238 - \sqrt{56643}}}{2} + \frac{\sqrt{236 - \sqrt{55695}}}{2} + \frac{\sqrt{234 - \sqrt{54755}}}{2} + \frac{\sqrt{232 - \sqrt{53823}}}{2} + \frac{\sqrt{230 - \sqrt{52899}}}{2} + \frac{\sqrt{228 - \sqrt{51983}}}{2} + \frac{\sqrt{226 - 15 \sqrt{227}}}{2} + \frac{\sqrt{224 - 15 \sqrt{223}}}{2} + \frac{\sqrt{222 - \sqrt{49283}}}{2} + \frac{\sqrt{220 - \sqrt{48399}}}{2} + \frac{\sqrt{218 - \sqrt{47523}}}{2} + \frac{\sqrt{216 - \sqrt{46655}}}{2} + \frac{\sqrt{214 - \sqrt{45795}}}{2} + \frac{\sqrt{212 - \sqrt{44943}}}{2} + \frac{\sqrt{210 - \sqrt{44099}}}{2} + \frac{\sqrt{208 - 3 \sqrt{4807}}}{2} + \frac{\sqrt{206 - 3 \sqrt{4715}}}{2} + \frac{\sqrt{204 - \sqrt{41615}}}{2} + \frac{\sqrt{202 - \sqrt{40803}}}{2} + \frac{\sqrt{200 - \sqrt{39999}}}{2} + \frac{\sqrt{198 - \sqrt{39203}}}{2} + \frac{\sqrt{196 - \sqrt{38415}}}{2} + \frac{\sqrt{194 - \sqrt{37635}}}{2} + \frac{\sqrt{192 - \sqrt{36863}}}{2} + \frac{\sqrt{190 - 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3 \sqrt{2055}}}{2} + \frac{\sqrt{134 - 3 \sqrt{1995}}}{2} + \frac{\sqrt{132 - \sqrt{17423}}}{2} + \frac{\sqrt{130 - \sqrt{16899}}}{2} + \frac{\sqrt{128 - \sqrt{16383}}}{2} + \frac{\sqrt{126 - 5 \sqrt{635}}}{2} + \frac{\sqrt{124 - 5 \sqrt{615}}}{2} + \frac{\sqrt{122 - 11 \sqrt{123}}}{2} + \frac{\sqrt{120 - 11 \sqrt{119}}}{2} + \frac{\sqrt{118 - 3 \sqrt{1547}}}{2} + \frac{\sqrt{116 - 3 \sqrt{1495}}}{2} + \frac{\sqrt{114 - \sqrt{12995}}}{2} + \frac{\sqrt{112 - \sqrt{12543}}}{2} + \frac{\sqrt{110 - \sqrt{12099}}}{2} + \frac{\sqrt{108 - \sqrt{11663}}}{2} + \frac{\sqrt{106 - \sqrt{11235}}}{2} + \frac{\sqrt{104 - \sqrt{10815}}}{2} + \frac{\sqrt{102 - \sqrt{10403}}}{2} + \frac{\sqrt{100 - 3 \sqrt{1111}}}{2} + \frac{\sqrt{98 - 3 \sqrt{1067}}}{2} + \frac{\sqrt{96 - \sqrt{9215}}}{2} + \frac{\sqrt{94 - \sqrt{8835}}}{2} + \frac{\sqrt{92 - \sqrt{8463}}}{2} + \frac{\sqrt{90 - \sqrt{8099}}}{2} + \frac{\sqrt{88 - \sqrt{7743}}}{2} + \frac{\sqrt{86 - \sqrt{7395}}}{2} + \frac{\sqrt{84 - \sqrt{7055}}}{2} + \frac{\sqrt{82 - 9 \sqrt{83}}}{2} + \frac{\sqrt{80 - 9 \sqrt{79}}}{2} + \frac{\sqrt{78 - \sqrt{6083}}}{2} + \frac{\sqrt{76 - 5 \sqrt{231}}}{2} + \frac{\sqrt{74 - 5 \sqrt{219}}}{2} + \frac{\sqrt{72 - \sqrt{5183}}}{2} + \frac{\sqrt{70 - \sqrt{4899}}}{2} + \frac{\sqrt{68 - \sqrt{4623}}}{2} + \frac{\sqrt{66 - \sqrt{4355}}}{2} + \frac{\sqrt{64 - 3 \sqrt{455}}}{2} + \frac{\sqrt{62 - 3 \sqrt{427}}}{2} + \frac{\sqrt{60 - \sqrt{3599}}}{2} + \frac{\sqrt{58 - \sqrt{3363}}}{2} + \frac{\sqrt{56 - \sqrt{3135}}}{2} + \frac{\sqrt{54 - \sqrt{2915}}}{2} + \frac{\sqrt{52 - \sqrt{2703}}}{2} + \frac{\sqrt{50 - 7 \sqrt{51}}}{2} + \frac{\sqrt{48 - 7 \sqrt{47}}}{2} + \frac{\sqrt{46 - 3 \sqrt{235}}}{2} + \frac{\sqrt{44 - 3 \sqrt{215}}}{2} + \frac{\sqrt{42 - \sqrt{1763}}}{2} + \frac{\sqrt{40 - \sqrt{1599}}}{2} + \frac{\sqrt{38 - \sqrt{1443}}}{2} + \frac{\sqrt{36 - \sqrt{1295}}}{2} + \frac{\sqrt{34 - \sqrt{1155}}}{2} + \frac{\sqrt{32 - \sqrt{1023}}}{2} + \frac{\sqrt{30 - \sqrt{899}}}{2} + \frac{\sqrt{28 - 3 \sqrt{87}}}{2} + \frac{\sqrt{26 - 15 \sqrt{3}}}{2} + \frac{\sqrt{24 - 5 \sqrt{23}}}{2} + \frac{\sqrt{22 - \sqrt{483}}}{2} + \frac{\sqrt{20 - \sqrt{399}}}{2} + \frac{\sqrt{18 - \sqrt{323}}}{2} + \frac{\sqrt{16 - \sqrt{255}}}{2} + \frac{\sqrt{14 - \sqrt{195}}}{2} + \frac{\sqrt{12 - \sqrt{143}}}{2} + \frac{\sqrt{10 - 3 \sqrt{11}}}{2} + \frac{\sqrt{8 - 3 \sqrt{7}}}{2} + \frac{\sqrt{6 - \sqrt{35}}}{2} + \frac{\sqrt{4 - \sqrt{15}}}{2} + \frac{\sqrt{2 - \sqrt{3}}}{2}$$

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sqrt(3182655))/2 + sqrt(1786 - sqrt(3189795))/2 + sqrt(1788 - sqrt(3196943))/2 + sqrt(1790 - 3*sqrt(356011))/2 + sqrt(1792 - 3*sqrt(356807))/2 + sqrt(1794 - sqrt(3218435))/2 + sqrt(1796 - sqrt(3225615))/2 + sqrt(1798 - sqrt(3232803))/2 + sqrt(1800 - sqrt(3239999))/2 + sqrt(1802 - sqrt(3247203))/2 + sqrt(1804 - 19*sqrt(9015))/2 + sqrt(1806 - 19*sqrt(9035))/2 + sqrt(1808 - 3*sqrt(363207))/2 + sqrt(1810 - 3*sqrt(364011))/2 + sqrt(1812 - 7*sqrt(67007))/2 + sqrt(1814 - 77*sqrt(555))/2 + sqrt(1816 - 11*sqrt(27255))/2 + sqrt(1818 - sqrt(3305123))/2 + sqrt(1820 - sqrt(3312399))/2 + sqrt(1822 - sqrt(3319683))/2 + sqrt(1824 - 5*sqrt(133079))/2 + sqrt(1826 - 15*sqrt(14819))/2 + sqrt(1828 - 3*sqrt(371287))/2 + sqrt(1830 - sqrt(3348899))/2 + sqrt(1832 - sqrt(3356223))/2 + sqrt(1834 - sqrt(3363555))/2 + sqrt(1836 - sqrt(3370895))/2 + sqrt(1838 - sqrt(3378243))/2 + sqrt(1840 - sqrt(3385599))/2 + sqrt(1842 - sqrt(3392963))/2 + sqrt(1844 - 3*sqrt(377815))/2 + sqrt(1846 - 3*sqrt(378635))/2 + sqrt(1848 - 43*sqrt(1847))/2 + sqrt(1850 - 43*sqrt(1851))/2 + sqrt(1852 - sqrt(3429903))/2 + sqrt(1854 - sqrt(3437315))/2 + sqrt(1856 - sqrt(3444735))/2 + sqrt(1858 - 13*sqrt(20427))/2 + sqrt(1860 - 13*sqrt(20471))/2 + sqrt(1862 - 9*sqrt(42803))/2 + sqrt(1864 - 9*sqrt(42895))/2 + sqrt(1866 - sqrt(3481955))/2 + sqrt(1868 - sqrt(3489423))/2 + sqrt(1870 - sqrt(3496899))/2 + sqrt(1872 - sqrt(3504383))/2 + sqrt(1874 - 25*sqrt(5619))/2 + sqrt(1876 - 25*sqrt(5631))/2 + sqrt(1878 - sqrt(3526883))/2 + sqrt(1880 - 3*sqrt(392711))/2 + sqrt(1882 - 3*sqrt(393547))/2 + sqrt(1884 - sqrt(3549455))/2 + sqrt(1886 - sqrt(3556995))/2 + sqrt(1888 - sqrt(3564543))/2 + sqrt(1890 - sqrt(3572099))/2 + sqrt(1892 - sqrt(3579663))/2 + sqrt(1894 - sqrt(3587235))/2 + sqrt(1896 - sqrt(3594815))/2 + sqrt(1898 - 3*sqrt(400267))/2 + sqrt(1900 - 3*sqrt(401111))/2 + sqrt(1902 - sqrt(3617603))/2 + sqrt(1904 - sqrt(3625215))/2 + sqrt(1906 - sqrt(3632835))/2 + sqrt(1908 - sqrt(3640463))/2 + sqrt(1910 - 7*sqrt(74451))/2 + sqrt(1912 - 7*sqrt(74607))/2 + sqrt(1914 - sqrt(3663395))/2 + sqrt(1916 - 3*sqrt(407895))/2 + sqrt(1918 - 3*sqrt(408747))/2 + sqrt(1920 - sqrt(3686399))/2 + sqrt(1922 - sqrt(3694083))/2 + sqrt(1924 - 5*sqrt(148071))/2 + sqrt(1926 - 5*sqrt(148379))/2 + sqrt(1928 - sqrt(3717183))/2 + sqrt(1930 - sqrt(3724899))/2 + sqrt(1932 - sqrt(3732623))/2 + sqrt(1934 - 3*sqrt(415595))/2 + sqrt(1936 - 3*sqrt(416455))/2 + sqrt(1938 - sqrt(3755843))/2 + sqrt(1940 - sqrt(3763599))/2 + sqrt(1942 - sqrt(3771363))/2 + sqrt(1944 - sqrt(3779135))/2 + sqrt(1946 - sqrt(3786915))/2 + sqrt(1948 - sqrt(3794703))/2 + sqrt(1950 - sqrt(3802499))/2 + sqrt(1952 - 3*sqrt(423367))/2 + sqrt(1954 - 3*sqrt(424235))/2 + sqrt(1956 - sqrt(3825935))/2 + sqrt(1958 - sqrt(3833763))/2 + sqrt(1960 - sqrt(3841599))/2 + sqrt(1962 - sqrt(3849443))/2 + sqrt(1964 - sqrt(3857295))/2 + sqrt(1966 - sqrt(3865155))/2 + sqrt(1968 - sqrt(3873023))/2 + sqrt(1970 - 3*sqrt(431211))/2 + sqrt(1972 - 3*sqrt(432087))/2 + sqrt(1974 - 5*sqrt(155867))/2 + sqrt(1976 - 5*sqrt(156183))/2 + sqrt(1978 - sqrt(3912483))/2 + sqrt(1980 - sqrt(3920399))/2 + sqrt(1982 - sqrt(3928323))/2 + sqrt(1984 - sqrt(3936255))/2 + sqrt(1986 - sqrt(3944195))/2 + sqrt(1988 - 3*sqrt(439127))/2 + sqrt(1990 - 3*sqrt(440011))/2 + sqrt(1992 - sqrt(3968063))/2 + sqrt(1994 - sqrt(3976035))/2 + sqrt(1996 - sqrt(3984015))/2 + sqrt(1998 - sqrt(3992003))/2 + sqrt(2000 - sqrt(3999999))/2 + sqrt(2002 - sqrt(4008003))/2 + sqrt(2004 - sqrt(4016015))/2 + sqrt(2006 - 3*sqrt(447115))/2 + sqrt(2008 - 21*sqrt(9143))/2 + sqrt(2010 - 7*sqrt(82451))/2 + sqrt(2012 - sqrt(4048143))/2 + sqrt(2014 - sqrt(4056195))/2 + sqrt(2016 - sqrt(4064255))/2 + sqrt(2018 - sqrt(4072323))/2 + sqrt(2020 - sqrt(4080399))/2 + sqrt(2022 - 17*sqrt(14147))/2

Gráfico

Suma de la serie ((2n-((2n-1)(2n+1))^1/2)^1/2)/2

Ejemplos de hallazgo de la suma de la serie

Suma de la serie de potencias
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Serie de Flint Hills
```
csc(n)^2/n^3
```
Serie de cuadrados inversos
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Serie armónica
```
1/n
```
Serie de Grandi
```
(-1)^n
```
Serie alternada
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Serie de Newton-Mercator
```
(-1)^(n + 1)/n*x^n
```
Investigar la convergencia de la serie
```
(3*n - 1)/(-5)^n
```

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Suma de la serie ((2n-((2n-1)(2n+1))^1/2)^1/2)/2

Solución

Ejemplos de hallazgo de la suma de la serie