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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+ uno)*(cero , diecinueve ^(dos *n+ uno)/(cuatro *n^ dos - uno))
( menos 1) en el grado (n más 1) multiplicar por (0,19 en el grado (2 multiplicar por n más 1) dividir por (4 multiplicar por n al cuadrado menos 1))
( menos uno) en el grado (n más uno) multiplicar por (cero , diecinueve en el grado (dos multiplicar por n más uno) dividir por (cuatro multiplicar por n en el grado dos menos uno))
(-1)(n+1)*(0,19(2*n+1)/(4*n2-1))
-1n+1*0,192*n+1/4*n2-1
(-1)^(n+1)*(0,19^(2*n+1)/(4*n²-1))
(-1) en el grado (n+1)*(0,19 en el grado (2*n+1)/(4*n en el grado 2-1))
(-1)^(n+1)(0,19^(2n+1)/(4n^2-1))
(-1)(n+1)(0,19(2n+1)/(4n2-1))
-1n+10,192n+1/4n2-1
-1^n+10,19^2n+1/4n^2-1
(-1)^(n+1)*(0,19^(2*n+1) dividir por (4*n^2-1))
Expresiones semejantes
(1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))
(-1)^(n+1)*(0,19^(2*n-1)/(4*n^2-1))
(-1)^(n+1)*(0,19^(2*n+1)/(4*n^2+1))
(-1)^(n-1)*(0,19^(2*n+1)/(4*n^2-1))

Suma de la serie/ (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

Suma de la serie (-1)^(n+1)(0,19^(2n+1)/(4*n^2-1))

Solución

Ha introducido [src]

 161                         
_____                        
\    `                       
 \                    2*n + 1
  \              / 19\       
   \             |---|       
    )      n + 1 \100/       
   /   (-1)     *------------
  /                   2      
 /                 4*n  - 1  
/____,                       
n = 0

\sum_{n=0}^{161} \left(-1\right)^{n + 1} \frac{\left(\frac{19}{100}\right)^{2 n + 1}}{4 n^{2} - 1}

Sum((-1)^(n + 1)*((19/100)^(2*n + 1)/(4*n^2 - 1)), (n, 0, 161))

Velocidad de la convergencia de la serie

Respuesta [src]

6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017 
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

\frac{6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017}{34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}

6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017/34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Respuesta numérica [src]

0.192270076391367068746178828201

0.192270076391367068746178828201

Gráfico

Suma de la serie (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

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 (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

Solución

Ejemplos de hallazgo de la suma de la serie

Suma de la serie (-1)^(n+1)(0,19^(2n+1)/(4*n^2-1))