Sr Examen
Otras calculadoras
- Serie de Taylor paso a paso
- Serie de Fourier paso a paso
- Ecuaciones diferenciales paso a paso
- Producto de la serie
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¿Cómo usar?
- Suma de la serie:
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(n/(n+1))^(n^2)
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(5^n-3^n)/15^n
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(4^(n+1)-10^n)/20^n
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2^n+2/3^n
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Expresiones idénticas
- sqrt(uno + cero , ciento setenta y cuatro *(i+ cero , cinco))
- raíz cuadrada de (1 más 0,174 multiplicar por (i más 0,5))
- raíz cuadrada de (uno más cero , ciento setenta y cuatro multiplicar por (i más cero , cinco))
- √(1+0,174*(i+0,5))
- sqrt(1+0,174(i+0,5))
- sqrt1+0,174i+0,5
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Expresiones semejantes
- sqrt(1-0,174*(i+0,5))
- sqrt(1+0,174*(i-0,5))
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(n)/(n+3)
- sqrt(1/n)-sqrt(log(1+1/n))
- sqrt(16n^3+9)/((n^2+4)(n+3))
- sqrt(1+5n/n)
- sqrt(1+0.667*2)
Suma de la serie sqrt(1+0,174*(i+0,5))
Solución
Ha introducido
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45 ____ \ ` \ __________________ \ / 87*(i + 1/2) / / 1 + ------------ / \/ 500 /___, i = 0
$$\sum_{i=0}^{45} \sqrt{\frac{87 \left(i + \frac{1}{2}\right)}{500} + 1}$$
Sum(sqrt(1 + 87*(i + 1/2)/500), (i, 0, 45))
Velocidad de la convergencia de la serie
Respuesta
[src]
_____ _____ ______ ______ ______ ______ ______ ______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _____ ____ \/ 574 \/ 922 \/ 1270 \/ 1618 \/ 1966 \/ 2314 \/ 3010 \/ 3358 \/ 10870 \/ 12610 \/ 16090 \/ 17830 \/ 19570 \/ 21310 \/ 24790 \/ 26530 \/ 28270 \/ 30010 \/ 33490 \/ 35230 \/ 36970 \/ 42190 \/ 43930 \/ 45670 \/ 47410 \/ 50890 \/ 52630 \/ 54370 \/ 56110 \/ 59590 \/ 61330 \/ 63070 \/ 64810 \/ 68290 \/ 70030 \/ 71770 \/ 73510 \/ 76990 \/ 78730 \/ 80470 \/ 82210 \/ 85690 \/ 87430 \/ 89170 7*\/ 790 11*\/ 22 ------- + ------- + -------- + -------- + -------- + -------- + -------- + -------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- 20 20 20 20 20 20 20 20 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 20
$$\frac{\sqrt{10870}}{100} + \frac{\sqrt{12610}}{100} + \frac{\sqrt{574}}{20} + \frac{\sqrt{16090}}{100} + \frac{\sqrt{17830}}{100} + \frac{\sqrt{19570}}{100} + \frac{\sqrt{21310}}{100} + \frac{\sqrt{922}}{20} + \frac{\sqrt{24790}}{100} + \frac{\sqrt{26530}}{100} + \frac{\sqrt{28270}}{100} + \frac{\sqrt{30010}}{100} + \frac{\sqrt{1270}}{20} + \frac{\sqrt{33490}}{100} + \frac{\sqrt{35230}}{100} + \frac{\sqrt{36970}}{100} + \frac{7 \sqrt{790}}{100} + \frac{\sqrt{1618}}{20} + \frac{\sqrt{42190}}{100} + \frac{\sqrt{43930}}{100} + \frac{\sqrt{45670}}{100} + \frac{\sqrt{47410}}{100} + \frac{\sqrt{1966}}{20} + \frac{\sqrt{50890}}{100} + \frac{\sqrt{52630}}{100} + \frac{\sqrt{54370}}{100} + \frac{\sqrt{56110}}{100} + \frac{\sqrt{2314}}{20} + \frac{\sqrt{59590}}{100} + \frac{\sqrt{61330}}{100} + \frac{\sqrt{63070}}{100} + \frac{\sqrt{64810}}{100} + \frac{11 \sqrt{22}}{20} + \frac{\sqrt{68290}}{100} + \frac{\sqrt{70030}}{100} + \frac{\sqrt{71770}}{100} + \frac{\sqrt{73510}}{100} + \frac{\sqrt{3010}}{20} + \frac{\sqrt{76990}}{100} + \frac{\sqrt{78730}}{100} + \frac{\sqrt{80470}}{100} + \frac{\sqrt{82210}}{100} + \frac{\sqrt{3358}}{20} + \frac{\sqrt{85690}}{100} + \frac{\sqrt{87430}}{100} + \frac{\sqrt{89170}}{100}$$
sqrt(574)/20 + sqrt(922)/20 + sqrt(1270)/20 + sqrt(1618)/20 + sqrt(1966)/20 + sqrt(2314)/20 + sqrt(3010)/20 + sqrt(3358)/20 + sqrt(10870)/100 + sqrt(12610)/100 + sqrt(16090)/100 + sqrt(17830)/100 + sqrt(19570)/100 + sqrt(21310)/100 + sqrt(24790)/100 + sqrt(26530)/100 + sqrt(28270)/100 + sqrt(30010)/100 + sqrt(33490)/100 + sqrt(35230)/100 + sqrt(36970)/100 + sqrt(42190)/100 + sqrt(43930)/100 + sqrt(45670)/100 + sqrt(47410)/100 + sqrt(50890)/100 + sqrt(52630)/100 + sqrt(54370)/100 + sqrt(56110)/100 + sqrt(59590)/100 + sqrt(61330)/100 + sqrt(63070)/100 + sqrt(64810)/100 + sqrt(68290)/100 + sqrt(70030)/100 + sqrt(71770)/100 + sqrt(73510)/100 + sqrt(76990)/100 + sqrt(78730)/100 + sqrt(80470)/100 + sqrt(82210)/100 + sqrt(85690)/100 + sqrt(87430)/100 + sqrt(89170)/100 + 7*sqrt(790)/100 + 11*sqrt(22)/20
Gráfico
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