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e^(1/(n^2))*(-1)^n

  • ¿Cómo usar?

  • Suma de la serie:
  • n/2^n n/2^n
  • (-1)^(n+1)/n (-1)^(n+1)/n
  • 2^n/n! 2^n/n!
  • sin2n sin2n

  • Expresiones idénticas

  • e^(uno /(n^ dos))*(- uno)^n
  • e en el grado (1 dividir por (n al cuadrado )) multiplicar por ( menos 1) en el grado n
  • e en el grado (uno dividir por (n en el grado dos)) multiplicar por ( menos uno) en el grado n
  • e(1/(n2))*(-1)n
  • e1/n2*-1n
  • e^(1/(n²))*(-1)^n
  • e en el grado (1/(n en el grado 2))*(-1) en el grado n
  • e^(1/(n^2))(-1)^n
  • e(1/(n2))(-1)n
  • e1/n2-1n
  • e^1/n^2-1^n
  • e^(1 dividir por (n^2))*(-1)^n

  • Expresiones semejantes

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

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


∑
=

Solución

Ha introducido [src] 
  99           
____           
\   `          
 \     1       
  \    --      
   )    2      
  /    n      n
 /    E  *(-1) 
/___,          
n = 1
$$\sum_{n=1}^{99} \left(-1\right)^{n} e^{\frac{1}{n^{2}}}$$ 
Sum(E^(1/(n^2))*(-1)^n, (n, 1, 99))
Velocidad de la convergencia de la serie
Respuesta [src] 
      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    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
-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 - e^{\frac{1}{9}} - e^{\frac{1}{25}} - e^{\frac{1}{49}} - e^{\frac{1}{81}} - e^{\frac{1}{121}} - e^{\frac{1}{169}} - e^{\frac{1}{225}} - e^{\frac{1}{289}} - e^{\frac{1}{361}} - e^{\frac{1}{441}} - e^{\frac{1}{529}} - e^{\frac{1}{625}} - e^{\frac{1}{729}} - e^{\frac{1}{841}} - e^{\frac{1}{961}} - e^{\frac{1}{1089}} - e^{\frac{1}{1225}} - e^{\frac{1}{1369}} - e^{\frac{1}{1521}} - e^{\frac{1}{1681}} - e^{\frac{1}{1849}} - e^{\frac{1}{2025}} - e^{\frac{1}{2209}} - e^{\frac{1}{2401}} - e^{\frac{1}{2601}} - e^{\frac{1}{2809}} - e^{\frac{1}{3025}} - e^{\frac{1}{3249}} - e^{\frac{1}{3481}} - e^{\frac{1}{3721}} - e^{\frac{1}{3969}} - e^{\frac{1}{4225}} - e^{\frac{1}{4489}} - e^{\frac{1}{4761}} - e^{\frac{1}{5041}} - e^{\frac{1}{5329}} - e^{\frac{1}{5625}} - e^{\frac{1}{5929}} - e^{\frac{1}{6241}} - e^{\frac{1}{6561}} - e^{\frac{1}{6889}} - e^{\frac{1}{7225}} - e^{\frac{1}{7569}} - e^{\frac{1}{7921}} - e^{\frac{1}{8281}} - e^{\frac{1}{8649}} - e^{\frac{1}{9025}} - e^{\frac{1}{9409}} - e^{\frac{1}{9801}} + e^{\frac{1}{9604}} + e^{\frac{1}{9216}} + e^{\frac{1}{8836}} + e^{\frac{1}{8464}} + e^{\frac{1}{8100}} + e^{\frac{1}{7744}} + e^{\frac{1}{7396}} + e^{\frac{1}{7056}} + e^{\frac{1}{6724}} + e^{\frac{1}{6400}} + e^{\frac{1}{6084}} + e^{\frac{1}{5776}} + e^{\frac{1}{5476}} + e^{\frac{1}{5184}} + e^{\frac{1}{4900}} + e^{\frac{1}{4624}} + e^{\frac{1}{4356}} + e^{\frac{1}{4096}} + e^{\frac{1}{3844}} + e^{\frac{1}{3600}} + e^{\frac{1}{3364}} + e^{\frac{1}{3136}} + e^{\frac{1}{2916}} + e^{\frac{1}{2704}} + e^{\frac{1}{2500}} + e^{\frac{1}{2304}} + e^{\frac{1}{2116}} + e^{\frac{1}{1936}} + e^{\frac{1}{1764}} + e^{\frac{1}{1600}} + e^{\frac{1}{1444}} + e^{\frac{1}{1296}} + e^{\frac{1}{1156}} + e^{\frac{1}{1024}} + e^{\frac{1}{900}} + e^{\frac{1}{784}} + e^{\frac{1}{676}} + e^{\frac{1}{576}} + e^{\frac{1}{484}} + e^{\frac{1}{400}} + e^{\frac{1}{324}} + e^{\frac{1}{256}} + e^{\frac{1}{196}} + e^{\frac{1}{144}} + e^{\frac{1}{100}} + e^{\frac{1}{64}} + e^{\frac{1}{36}} + e^{\frac{1}{16}} + e^{\frac{1}{4}}$$ 
-E - 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) + 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)
Respuesta numérica [src] 
-2.51174231631552205824101846057
-2.51174231631552205824101846057
Gráfico
Suma de la serie e^(1/(n^2))*(-1)^n

    Ejemplos de hallazgo de la suma de la serie

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