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Suma de la serie:
(2/3)^n
x^n/2^n
1/(n(n+3))
(2^n+5^n)/10^n
Expresiones idénticas
e^(uno /(n^ dos))*(- uno)^(n+ uno)
e en el grado (1 dividir por (n al cuadrado )) multiplicar por ( menos 1) en el grado (n más 1)
e en el grado (uno dividir por (n en el grado dos)) multiplicar por ( menos uno) en el grado (n más uno)
e(1/(n2))*(-1)(n+1)
e1/n2*-1n+1
e^(1/(n²))*(-1)^(n+1)
e en el grado (1/(n en el grado 2))*(-1) en el grado (n+1)
e^(1/(n^2))(-1)^(n+1)
e(1/(n2))(-1)(n+1)
e1/n2-1n+1
e^1/n^2-1^n+1
e^(1 dividir por (n^2))*(-1)^(n+1)
Expresiones semejantes
e^(1/(n^2))*(-1)^(n-1)
e^(1/(n^2))*(1)^(n+1)

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

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

Solución

Ha introducido [src]

  99               
____               
\   `              
 \     1           
  \    --          
   )    2          
  /    n      n + 1
 /    E  *(-1)     
/___,              
n = 1

$$\sum_{n=1}^{99} \left(-1\right)^{n + 1} e^{\frac{1}{n^{2}}}$$

Sum(E^(1/(n^2))*(-1)^(n + 1), (n, 1, 99))

Velocidad de la convergencia de la serie

Respuesta [src]

     1/4    1/16    1/36    1/64    1/100    1/144    1/196    1/256    1/324    1/400    1/484    1/576    1/676    1/784    1/900    1/1024    1/1156    1/1296    1/1444    1/1600    1/1764    1/1936    1/2116    1/2304    1/2500    1/2704    1/2916    1/3136    1/3364    1/3600    1/3844    1/4096    1/4356    1/4624    1/4900    1/5184    1/5476    1/5776    1/6084    1/6400    1/6724    1/7056    1/7396    1/7744    1/8100    1/8464    1/8836    1/9216    1/9604    1/9    1/25    1/49    1/81    1/121    1/169    1/225    1/289    1/361    1/441    1/529    1/625    1/729    1/841    1/961    1/1089    1/1225    1/1369    1/1521    1/1681    1/1849    1/2025    1/2209    1/2401    1/2601    1/2809    1/3025    1/3249    1/3481    1/3721    1/3969    1/4225    1/4489    1/4761    1/5041    1/5329    1/5625    1/5929    1/6241    1/6561    1/6889    1/7225    1/7569    1/7921    1/8281    1/8649    1/9025    1/9409    1/9801
E - e    - e     - e     - e     - e      - e      - e      - e      - e      - e      - e      - e      - e      - e      - e      - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       - e       + e    + e     + e     + e     + e      + e      + e      + e      + e      + e      + e      + e      + e      + e      + e      + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e       + e

$$- e^{\frac{1}{4}} - e^{\frac{1}{16}} - e^{\frac{1}{36}} - e^{\frac{1}{64}} - e^{\frac{1}{100}} - e^{\frac{1}{144}} - e^{\frac{1}{196}} - e^{\frac{1}{256}} - e^{\frac{1}{324}} - e^{\frac{1}{400}} - e^{\frac{1}{484}} - e^{\frac{1}{576}} - e^{\frac{1}{676}} - e^{\frac{1}{784}} - e^{\frac{1}{900}} - e^{\frac{1}{1024}} - e^{\frac{1}{1156}} - e^{\frac{1}{1296}} - e^{\frac{1}{1444}} - e^{\frac{1}{1600}} - e^{\frac{1}{1764}} - e^{\frac{1}{1936}} - e^{\frac{1}{2116}} - e^{\frac{1}{2304}} - e^{\frac{1}{2500}} - e^{\frac{1}{2704}} - e^{\frac{1}{2916}} - e^{\frac{1}{3136}} - e^{\frac{1}{3364}} - e^{\frac{1}{3600}} - e^{\frac{1}{3844}} - e^{\frac{1}{4096}} - e^{\frac{1}{4356}} - e^{\frac{1}{4624}} - e^{\frac{1}{4900}} - e^{\frac{1}{5184}} - e^{\frac{1}{5476}} - e^{\frac{1}{5776}} - e^{\frac{1}{6084}} - e^{\frac{1}{6400}} - e^{\frac{1}{6724}} - e^{\frac{1}{7056}} - e^{\frac{1}{7396}} - e^{\frac{1}{7744}} - e^{\frac{1}{8100}} - e^{\frac{1}{8464}} - e^{\frac{1}{8836}} - e^{\frac{1}{9216}} - e^{\frac{1}{9604}} + e^{\frac{1}{9801}} + e^{\frac{1}{9409}} + e^{\frac{1}{9025}} + e^{\frac{1}{8649}} + e^{\frac{1}{8281}} + e^{\frac{1}{7921}} + e^{\frac{1}{7569}} + e^{\frac{1}{7225}} + e^{\frac{1}{6889}} + e^{\frac{1}{6561}} + e^{\frac{1}{6241}} + e^{\frac{1}{5929}} + e^{\frac{1}{5625}} + e^{\frac{1}{5329}} + e^{\frac{1}{5041}} + e^{\frac{1}{4761}} + e^{\frac{1}{4489}} + e^{\frac{1}{4225}} + e^{\frac{1}{3969}} + e^{\frac{1}{3721}} + e^{\frac{1}{3481}} + e^{\frac{1}{3249}} + e^{\frac{1}{3025}} + e^{\frac{1}{2809}} + e^{\frac{1}{2601}} + e^{\frac{1}{2401}} + e^{\frac{1}{2209}} + e^{\frac{1}{2025}} + e^{\frac{1}{1849}} + e^{\frac{1}{1681}} + e^{\frac{1}{1521}} + e^{\frac{1}{1369}} + e^{\frac{1}{1225}} + e^{\frac{1}{1089}} + e^{\frac{1}{961}} + e^{\frac{1}{841}} + e^{\frac{1}{729}} + e^{\frac{1}{625}} + e^{\frac{1}{529}} + e^{\frac{1}{441}} + e^{\frac{1}{361}} + e^{\frac{1}{289}} + e^{\frac{1}{225}} + e^{\frac{1}{169}} + e^{\frac{1}{121}} + e^{\frac{1}{81}} + e^{\frac{1}{49}} + e^{\frac{1}{25}} + e^{\frac{1}{9}} + e$$

E - exp(1/4) - exp(1/16) - exp(1/36) - exp(1/64) - exp(1/100) - exp(1/144) - exp(1/196) - exp(1/256) - exp(1/324) - exp(1/400) - exp(1/484) - exp(1/576) - exp(1/676) - exp(1/784) - exp(1/900) - exp(1/1024) - exp(1/1156) - exp(1/1296) - exp(1/1444) - exp(1/1600) - exp(1/1764) - exp(1/1936) - exp(1/2116) - exp(1/2304) - exp(1/2500) - exp(1/2704) - exp(1/2916) - exp(1/3136) - exp(1/3364) - exp(1/3600) - exp(1/3844) - exp(1/4096) - exp(1/4356) - exp(1/4624) - exp(1/4900) - exp(1/5184) - exp(1/5476) - exp(1/5776) - exp(1/6084) - exp(1/6400) - exp(1/6724) - exp(1/7056) - exp(1/7396) - exp(1/7744) - exp(1/8100) - exp(1/8464) - exp(1/8836) - exp(1/9216) - exp(1/9604) + exp(1/9) + exp(1/25) + exp(1/49) + exp(1/81) + exp(1/121) + exp(1/169) + exp(1/225) + exp(1/289) + exp(1/361) + exp(1/441) + exp(1/529) + exp(1/625) + exp(1/729) + exp(1/841) + exp(1/961) + exp(1/1089) + exp(1/1225) + exp(1/1369) + exp(1/1521) + exp(1/1681) + exp(1/1849) + exp(1/2025) + exp(1/2209) + exp(1/2401) + exp(1/2601) + exp(1/2809) + exp(1/3025) + exp(1/3249) + exp(1/3481) + exp(1/3721) + exp(1/3969) + exp(1/4225) + exp(1/4489) + exp(1/4761) + exp(1/5041) + exp(1/5329) + exp(1/5625) + exp(1/5929) + exp(1/6241) + exp(1/6561) + exp(1/6889) + exp(1/7225) + exp(1/7569) + exp(1/7921) + exp(1/8281) + exp(1/8649) + exp(1/9025) + exp(1/9409) + exp(1/9801)

Respuesta numérica [src]

2.51174231631552205824101846057

2.51174231631552205824101846057

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
```

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

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

Solución

Ejemplos de hallazgo de la suma de la serie