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-(sinn/n^2)

  • ¿Cómo usar?

  • Suma de la serie:
  • n^2/(n+1) n^2/(n+1)
  • 1/((n+1)(n+2)) 1/((n+1)(n+2))
  • 1+sin(x)/n
  • (-1)^n/2n-1 (-1)^n/2n-1

  • Expresiones idénticas

  • -(sinn/n^ dos)
  • menos ( seno de n dividir por n al cuadrado )
  • menos ( seno de n dividir por n en el grado dos)
  • -(sinn/n2)
  • -sinn/n2
  • -(sinn/n²)
  • -(sinn/n en el grado 2)
  • -sinn/n^2
  • -(sinn dividir por n^2)

  • Expresiones semejantes

  • (sinn/n^2)
Suma de la serie/ -(sinn/n^2)

Suma de la serie -(sinn/n^2)


∑
=

Solución

Ha introducido [src] 
 100          
____          
\   `         
 \    -sin(n) 
  \   --------
  /       2   
 /       n    
/___,         
n = 1
$$\sum_{n=1}^{100} - \frac{\sin{\left(n \right)}}{n^{2}}$$ 
Sum(-sin(n)/n^2, (n, 1, 100))
Velocidad de la convergencia de la serie
Respuesta [src] 
          sin(2)   sin(3)   sin(4)   sin(5)   sin(6)   sin(7)   sin(8)   sin(9)   sin(10)   sin(11)   sin(12)   sin(13)   sin(14)   sin(15)   sin(16)   sin(17)   sin(18)   sin(19)   sin(20)   sin(21)   sin(22)   sin(23)   sin(24)   sin(25)   sin(26)   sin(27)   sin(28)   sin(29)   sin(30)   sin(31)   sin(32)   sin(33)   sin(34)   sin(35)   sin(36)   sin(37)   sin(38)   sin(39)   sin(40)   sin(41)   sin(42)   sin(43)   sin(44)   sin(45)   sin(46)   sin(47)   sin(48)   sin(49)   sin(50)   sin(51)   sin(52)   sin(53)   sin(54)   sin(55)   sin(56)   sin(57)   sin(58)   sin(59)   sin(60)   sin(61)   sin(62)   sin(63)   sin(64)   sin(65)   sin(66)   sin(67)   sin(68)   sin(69)   sin(70)   sin(71)   sin(72)   sin(73)   sin(74)   sin(75)   sin(76)   sin(77)   sin(78)   sin(79)   sin(80)   sin(81)   sin(82)   sin(83)   sin(84)   sin(85)   sin(86)   sin(87)   sin(88)   sin(89)   sin(90)   sin(91)   sin(92)   sin(93)   sin(94)   sin(95)   sin(96)   sin(97)   sin(98)   sin(99)   sin(100)
-sin(1) - ------ - ------ - ------ - ------ - ------ - ------ - ------ - ------ - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - ------- - --------
            4        9        16       25       36       49       64       81       100       121       144       169       196       225       256       289       324       361       400       441       484       529       576       625       676       729       784       841       900       961       1024      1089      1156      1225      1296      1369      1444      1521      1600      1681      1764      1849      1936      2025      2116      2209      2304      2401      2500      2601      2704      2809      2916      3025      3136      3249      3364      3481      3600      3721      3844      3969      4096      4225      4356      4489      4624      4761      4900      5041      5184      5329      5476      5625      5776      5929      6084      6241      6400      6561      6724      6889      7056      7225      7396      7569      7744      7921      8100      8281      8464      8649      8836      9025      9216      9409      9604      9801     10000
$$- \sin{\left(1 \right)} - \frac{\sin{\left(2 \right)}}{4} - \frac{\sin{\left(3 \right)}}{9} - \frac{\sin{\left(8 \right)}}{64} - \frac{\sin{\left(7 \right)}}{49} - \frac{\sin{\left(9 \right)}}{81} - \frac{\sin{\left(14 \right)}}{196} - \frac{\sin{\left(15 \right)}}{225} - \frac{\sin{\left(13 \right)}}{169} - \frac{\sin{\left(20 \right)}}{400} - \frac{\sin{\left(21 \right)}}{441} - \frac{\sin{\left(27 \right)}}{729} - \frac{\sin{\left(26 \right)}}{676} - \frac{\sin{\left(33 \right)}}{1089} - \frac{\sin{\left(39 \right)}}{1521} - \frac{\sin{\left(32 \right)}}{1024} - \frac{\sin{\left(40 \right)}}{1600} - \frac{\sin{\left(34 \right)}}{1156} - \frac{\sin{\left(46 \right)}}{2116} - \frac{\sin{\left(45 \right)}}{2025} - \frac{\sin{\left(19 \right)}}{361} - \frac{\sin{\left(52 \right)}}{2704} - \frac{\sin{\left(28 \right)}}{784} - \frac{\sin{\left(58 \right)}}{3364} - \frac{\sin{\left(51 \right)}}{2601} - \frac{\sin{\left(64 \right)}}{4096} - \frac{\sin{\left(38 \right)}}{1444} - \frac{\sin{\left(65 \right)}}{4225} - \frac{\sin{\left(71 \right)}}{5041} - \frac{\sin{\left(59 \right)}}{3481} - \frac{\sin{\left(77 \right)}}{5929} - \frac{\sin{\left(70 \right)}}{4900} - \frac{\sin{\left(53 \right)}}{2809} - \frac{\sin{\left(83 \right)}}{6889} - \frac{\sin{\left(57 \right)}}{3249} - \frac{\sin{\left(90 \right)}}{8100} - \frac{\sin{\left(89 \right)}}{7921} - \frac{\sin{\left(96 \right)}}{9216} - \frac{\sin{\left(84 \right)}}{7056} - \frac{\sin{\left(76 \right)}}{5776} - \frac{\sin{\left(78 \right)}}{6084} - \frac{\sin{\left(95 \right)}}{9025} - \frac{\sin{\left(47 \right)}}{2209} - \frac{\sin{\left(72 \right)}}{5184} - \frac{\sin{\left(82 \right)}}{6724} - \frac{\sin{\left(63 \right)}}{3969} - \frac{\sin{\left(97 \right)}}{9409} - \frac{\sin{\left(91 \right)}}{8281} - \frac{\sin{\left(44 \right)}}{1936} - \frac{\sin{\left(88 \right)}}{7744} - \frac{\sin{\left(66 \right)}}{4356} - \frac{\sin{\left(22 \right)}}{484} - \frac{\sin{\left(69 \right)}}{4761} - \frac{\sin{\left(85 \right)}}{7225} - \frac{\sin{\left(94 \right)}}{8836} - \frac{\sin{\left(100 \right)}}{10000} - \frac{\sin{\left(98 \right)}}{9604} - \frac{\sin{\left(75 \right)}}{5625} - \frac{\sin{\left(79 \right)}}{6241} - \frac{\sin{\left(60 \right)}}{3600} - \frac{\sin{\left(92 \right)}}{8464} - \frac{\sin{\left(41 \right)}}{1681} - \frac{\sin{\left(81 \right)}}{6561} - \frac{\sin{\left(99 \right)}}{9801} - \frac{\sin{\left(50 \right)}}{2500} - \frac{\sin{\left(87 \right)}}{7569} - \frac{\sin{\left(93 \right)}}{8649} - \frac{\sin{\left(86 \right)}}{7396} - \frac{\sin{\left(73 \right)}}{5329} - \frac{\sin{\left(80 \right)}}{6400} - \frac{\sin{\left(56 \right)}}{3136} - \frac{\sin{\left(74 \right)}}{5476} - \frac{\sin{\left(67 \right)}}{4489} - \frac{\sin{\left(54 \right)}}{2916} - \frac{\sin{\left(62 \right)}}{3844} - \frac{\sin{\left(68 \right)}}{4624} - \frac{\sin{\left(25 \right)}}{625} - \frac{\sin{\left(61 \right)}}{3721} - \frac{\sin{\left(55 \right)}}{3025} - \frac{\sin{\left(48 \right)}}{2304} - \frac{\sin{\left(35 \right)}}{1225} - \frac{\sin{\left(49 \right)}}{2401} - \frac{\sin{\left(31 \right)}}{961} - \frac{\sin{\left(43 \right)}}{1849} - \frac{\sin{\left(37 \right)}}{1369} - \frac{\sin{\left(42 \right)}}{1764} - \frac{\sin{\left(36 \right)}}{1296} - \frac{\sin{\left(29 \right)}}{841} - \frac{\sin{\left(30 \right)}}{900} - \frac{\sin{\left(16 \right)}}{256} - \frac{\sin{\left(24 \right)}}{576} - \frac{\sin{\left(23 \right)}}{529} - \frac{\sin{\left(18 \right)}}{324} - \frac{\sin{\left(17 \right)}}{289} - \frac{\sin{\left(12 \right)}}{144} - \frac{\sin{\left(10 \right)}}{100} - \frac{\sin{\left(6 \right)}}{36} - \frac{\sin{\left(11 \right)}}{121} - \frac{\sin{\left(5 \right)}}{25} - \frac{\sin{\left(4 \right)}}{16}$$ 
-sin(1) - sin(2)/4 - sin(3)/9 - sin(4)/16 - sin(5)/25 - sin(6)/36 - sin(7)/49 - sin(8)/64 - sin(9)/81 - sin(10)/100 - sin(11)/121 - sin(12)/144 - sin(13)/169 - sin(14)/196 - sin(15)/225 - sin(16)/256 - sin(17)/289 - sin(18)/324 - sin(19)/361 - sin(20)/400 - sin(21)/441 - sin(22)/484 - sin(23)/529 - sin(24)/576 - sin(25)/625 - sin(26)/676 - sin(27)/729 - sin(28)/784 - sin(29)/841 - sin(30)/900 - sin(31)/961 - sin(32)/1024 - sin(33)/1089 - sin(34)/1156 - sin(35)/1225 - sin(36)/1296 - sin(37)/1369 - sin(38)/1444 - sin(39)/1521 - sin(40)/1600 - sin(41)/1681 - sin(42)/1764 - sin(43)/1849 - sin(44)/1936 - sin(45)/2025 - sin(46)/2116 - sin(47)/2209 - sin(48)/2304 - sin(49)/2401 - sin(50)/2500 - sin(51)/2601 - sin(52)/2704 - sin(53)/2809 - sin(54)/2916 - sin(55)/3025 - sin(56)/3136 - sin(57)/3249 - sin(58)/3364 - sin(59)/3481 - sin(60)/3600 - sin(61)/3721 - sin(62)/3844 - sin(63)/3969 - sin(64)/4096 - sin(65)/4225 - sin(66)/4356 - sin(67)/4489 - sin(68)/4624 - sin(69)/4761 - sin(70)/4900 - sin(71)/5041 - sin(72)/5184 - sin(73)/5329 - sin(74)/5476 - sin(75)/5625 - sin(76)/5776 - sin(77)/5929 - sin(78)/6084 - sin(79)/6241 - sin(80)/6400 - sin(81)/6561 - sin(82)/6724 - sin(83)/6889 - sin(84)/7056 - sin(85)/7225 - sin(86)/7396 - sin(87)/7569 - sin(88)/7744 - sin(89)/7921 - sin(90)/8100 - sin(91)/8281 - sin(92)/8464 - sin(93)/8649 - sin(94)/8836 - sin(95)/9025 - sin(96)/9216 - sin(97)/9409 - sin(98)/9604 - sin(99)/9801 - sin(100)/10000
Respuesta numérica [src] 
-1.01385604258079142145112700280
-1.01385604258079142145112700280
Gráfico
Suma de la serie -(sinn/n^2)

    Ejemplos de hallazgo de la suma de la serie

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