Sr Examen

Otras calculadoras

-1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2-1))

  • ¿Cómo usar?

  • Suma de la serie:
  • n^3/e^n n^3/e^n
  • 2^n/n^2 2^n/n^2
  • 5 5
  • (1/2^n)((n+2)/(n(n+2))) (1/2^n)((n+2)/(n(n+2)))

  • Expresiones idénticas

  • - uno ^(n+ uno)*(cero , diez ^n* cero , uno ^n* cero , uno /(cuatro *n^ dos - uno))
  • menos 1 en el grado (n más 1) multiplicar por (0,10 en el grado n multiplicar por 0,1 en el grado n multiplicar por 0,1 dividir por (4 multiplicar por n al cuadrado menos 1))
  • menos uno en el grado (n más uno) multiplicar por (cero , diez en el grado n multiplicar por cero , uno en el grado n multiplicar por cero , uno dividir por (cuatro multiplicar por n en el grado dos menos uno))
  • -1(n+1)*(0,10n*0,1n*0,1/(4*n2-1))
  • -1n+1*0,10n*0,1n*0,1/4*n2-1
  • -1^(n+1)*(0,10^n*0,1^n*0,1/(4*n²-1))
  • -1 en el grado (n+1)*(0,10 en el grado n*0,1 en el grado n*0,1/(4*n en el grado 2-1))
  • -1^(n+1)(0,10^n0,1^n0,1/(4n^2-1))
  • -1(n+1)(0,10n0,1n0,1/(4n2-1))
  • -1n+10,10n0,1n0,1/4n2-1
  • -1^n+10,10^n0,1^n0,1/4n^2-1
  • -1^(n+1)*(0,10^n*0,1^n*0,1 dividir por (4*n^2-1))

  • Expresiones semejantes

  • -1^(n-1)*(0,10^n*0,1^n*0,1/(4*n^2-1))
  • 1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2-1))
  • -1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2+1))
Suma de la serie/ -1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2-1))

Suma de la serie -1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2-1))


∑
=

Solución

Ha introducido [src] 
 161                      
_____                     
\    `                    
 \             /  -n   -n\
  \            |10  *10  |
   \           |---------|
    )    n + 1 \    10   /
   /   -1     *-----------
  /                 2     
 /               4*n  - 1 
/____,                    
n = 0
$$\sum_{n=0}^{161} - 1^{n + 1} \frac{\frac{1}{10} \left(\frac{1}{10}\right)^{n} \left(\frac{1}{10}\right)^{n}}{4 n^{2} - 1}$$ 
Sum((-1^(n + 1))*((((1/10)^n*(1/10)^n)/10)/(4*n^2 - 1)), (n, 0, 161))
Velocidad de la convergencia de la serie
Respuesta [src] 
 268668219375552185178050048225798195092426733368669568859320880216318386984182794599712912601926264186587142999711253976007102098364436914224348131956410855880024175068067427256019326545629929844105026285136743812412672818022769070255745188030887642496862435206984422010672497562901996461174753890236979914304228437363489114080898106214034192246510256825657445958137998410808143334399517335116731237975751162054132510786714178231275860269052347695439828483
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2695685861984775609050126510311904325109155234598338822570306376931156172255139594445667977485977659629456607351846309494797008737841100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
$$\frac{268668219375552185178050048225798195092426733368669568859320880216318386984182794599712912601926264186587142999711253976007102098364436914224348131956410855880024175068067427256019326545629929844105026285136743812412672818022769070255745188030887642496862435206984422010672497562901996461174753890236979914304228437363489114080898106214034192246510256825657445958137998410808143334399517335116731237975751162054132510786714178231275860269052347695439828483}{2695685861984775609050126510311904325109155234598338822570306376931156172255139594445667977485977659629456607351846309494797008737841100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$ 
268668219375552185178050048225798195092426733368669568859320880216318386984182794599712912601926264186587142999711253976007102098364436914224348131956410855880024175068067427256019326545629929844105026285136743812412672818022769070255745188030887642496862435206984422010672497562901996461174753890236979914304228437363489114080898106214034192246510256825657445958137998410808143334399517335116731237975751162054132510786714178231275860269052347695439828483/2695685861984775609050126510311904325109155234598338822570306376931156172255139594445667977485977659629456607351846309494797008737841100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Respuesta numérica [src] 
0.0996659971268824124146846432697
0.0996659971268824124146846432697
Gráfico
Suma de la serie -1^(n+1)*(0,10^n*0,1^n*0,1/(4*n^2-1))

    Ejemplos de hallazgo de la suma de la serie

    © Sr Examen – Калькулятор