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¿Cómo usar?
Suma de la serie:
(n/(2*n+1))^n
((2n+1)/((n+1)^3))*x^n
(5^n+2^n)/10^n
(2/7)^n
Expresiones idénticas
((((- uno)^(n))*((cero . noventa y uno)^(dos n+ uno)))/((n+ uno)*(n+2)))*cos(n*((pi)/(seis)))
(((( menos 1) en el grado (n)) multiplicar por ((0.91) en el grado (2n más 1))) dividir por ((n más 1) multiplicar por (n más 2))) multiplicar por coseno de (n multiplicar por (( número pi ) dividir por (6)))
(((( menos uno) en el grado (n)) multiplicar por ((cero . noventa y uno) en el grado (dos n más uno))) dividir por ((n más uno) multiplicar por (n más 2))) multiplicar por coseno de (n multiplicar por (( número pi ) dividir por (seis)))
((((-1)(n))*((0.91)(2n+1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))
-1n*0.912n+1/n+1*n+2*cosn*pi/6
((((-1)^(n))((0.91)^(2n+1)))/((n+1)(n+2)))cos(n((pi)/(6)))
((((-1)(n))((0.91)(2n+1)))/((n+1)(n+2)))cos(n((pi)/(6)))
-1n0.912n+1/n+1n+2cosnpi/6
-1^n0.91^2n+1/n+1n+2cosnpi/6
((((-1)^(n))*((0.91)^(2n+1))) dividir por ((n+1)*(n+2)))*cos(n*((pi) dividir por (6)))
Expresiones semejantes
((((-1)^(n))*((0.91)^(2n-1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))
((((1)^(n))*((0.91)^(2n+1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))
((((-1)^(n))*((0.91)^(2n+1)))/((n+1)*(n-2)))*cos(n*((pi)/(6)))
((((-1)^(n))*((0.91)^(2n+1)))/((n-1)*(n+2)))*cos(n*((pi)/(6)))
Expresiones con funciones
Coseno cos
cose^n/(2n^5-8)
cos^2(2n+3)/(n(3n+4)^1/2)
cos(pi/(6n))(-1)^n
cos(1/1-x)
cos(5n)*sin(2n)

Suma de la serie/ ((((-1)^(n))*((0.91)^(2n+1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))

Suma de la serie ((((-1)^(n))((0.91)^(2n+1)))/((n+1)(n+2)))cos(n((pi)/(6)))

Solución

Ha introducido [src]

 132                               
_____                              
\    `                             
 \                2*n + 1          
  \        n / 91\                 
   \   (-1) *|---|                 
   /         \100/           /  pi\
  /    ------------------*cos|n*--|
 /      (n + 1)*(n + 2)      \  6 /
/____,                             
n = 1

\sum_{n=1}^{132} \frac{\left(-1\right)^{n} \left(\frac{91}{100}\right)^{2 n + 1}}{\left(n + 1\right) \left(n + 2\right)} \cos{\left(n \frac{\pi}{6} \right)}

Sum((((-1)^n*(91/100)^(2*n + 1))/(((n + 1)*(n + 2))))*cos(n*(pi/6)), (n, 1, 132))

Velocidad de la convergencia de la serie

Respuesta [src]

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ___
 464804365223814107870835117135853897360438346508786704956345241877485996089297093500405237884514041303193215101924740155053065337870826514476072312035409869446245837210093366980439017133586226524815900258928796916661208905117181090477628435015416572585025136010267544004810034867537537090855584669432706213749578906927038499829713588946746390408044859309211747813079494210035035531963128453584033106972864116196181468756429447834368849392055922535565670142052965133664682773097208188491240010100599990361087214067490189652483884467862105460422802458835384733963890820213158563561    63886290776561567474588340587503988245215706775427859156143626588943804488295489863243776710586365576470800500988504253259153437547647413564187602331129259897167205296734873860436110032705015361973775764411366934413738846765764334163397565966328747446909865194088125609679019339695145135060380532642762181378763219259217282580125621924130634034791168400137882625941097873650217557995205095147493163999737176399176567369325669218158191602984303226874599076953113464306965037541633426467398575789276489547962384377779990136651087926234440474572205373773217803*\/ 3 
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
34327748193105590991010422797913480908017902710644200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000     1113520532784383294404593317894160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

\frac{464804365223814107870835117135853897360438346508786704956345241877485996089297093500405237884514041303193215101924740155053065337870826514476072312035409869446245837210093366980439017133586226524815900258928796916661208905117181090477628435015416572585025136010267544004810034867537537090855584669432706213749578906927038499829713588946746390408044859309211747813079494210035035531963128453584033106972864116196181468756429447834368849392055922535565670142052965133664682773097208188491240010100599990361087214067490189652483884467862105460422802458835384733963890820213158563561}{34327748193105590991010422797913480908017902710644200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} - \frac{63886290776561567474588340587503988245215706775427859156143626588943804488295489863243776710586365576470800500988504253259153437547647413564187602331129259897167205296734873860436110032705015361973775764411366934413738846765764334163397565966328747446909865194088125609679019339695145135060380532642762181378763219259217282580125621924130634034791168400137882625941097873650217557995205095147493163999737176399176567369325669218158191602984303226874599076953113464306965037541633426467398575789276489547962384377779990136651087926234440474572205373773217803 \sqrt{3}}{1113520532784383294404593317894160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}

464804365223814107870835117135853897360438346508786704956345241877485996089297093500405237884514041303193215101924740155053065337870826514476072312035409869446245837210093366980439017133586226524815900258928796916661208905117181090477628435015416572585025136010267544004810034867537537090855584669432706213749578906927038499829713588946746390408044859309211747813079494210035035531963128453584033106972864116196181468756429447834368849392055922535565670142052965133664682773097208188491240010100599990361087214067490189652483884467862105460422802458835384733963890820213158563561/34327748193105590991010422797913480908017902710644200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - 63886290776561567474588340587503988245215706775427859156143626588943804488295489863243776710586365576470800500988504253259153437547647413564187602331129259897167205296734873860436110032705015361973775764411366934413738846765764334163397565966328747446909865194088125609679019339695145135060380532642762181378763219259217282580125621924130634034791168400137882625941097873650217557995205095147493163999737176399176567369325669218158191602984303226874599076953113464306965037541633426467398575789276489547962384377779990136651087926234440474572205373773217803*sqrt(3)/1113520532784383294404593317894160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Respuesta numérica [src]

-0.0858331883786622585613960631975

-0.0858331883786622585613960631975

Gráfico

Suma de la serie ((((-1)^(n))*((0.91)^(2n+1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))

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

Expresiones con funciones

Suma de la serie ((((-1)^(n))*((0.91)^(2n+1)))/((n+1)*(n+2)))*cos(n*((pi)/(6)))

Solución

Ejemplos de hallazgo de la suma de la serie

Suma de la serie ((((-1)^(n))((0.91)^(2n+1)))/((n+1)(n+2)))cos(n((pi)/(6)))