Calculadora de series y sumas con pasos

Esta calculadora intentará encontrar la suma infinita de series aritméticas, geométricas, de potencias y binomiales, así como la suma parcial, con pasos mostrados (si es posible). También comprobará si la serie converge.

Sum of:

Variable:

Start Value:

If you need `-oo`, type -inf.

End Value:

If you need `oo`, type inf.

If you need a binomial coefficient `C(n,k)=((n),(k))`, type binomial(n,k).

If you need a factorial `n!`, type factorial(n).

Variables in the bounds are assumed to be positive.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Answer

Your input: calculate $$$\sum_{n=0}^{\infty} \frac{4^{n}}{n!^{2}}$$$

Steps are not available for this series.

$${\color{red}{\left(\sum_{n=0}^{\infty} \frac{4^{n}}{n!^{2}}\right)}}={\color{red}{\left(I_{0}\left(4\right)\right)}}$$

Hence,

$$\sum_{n=0}^{\infty} \frac{4^{n}}{n!^{2}}=I_{0}\left(4\right)$$

Answer: $$$\sum_{n=0}^{\infty} \frac{4^{n}}{n!^{2}}=I_{0}\left(4\right)\approx 11.3019219521363$$$

Calculadora de series y sumas con pasos

Calcula series y sumas paso a paso

Answer