# The question is below?

## Find the sum of the series 1+1/(4*2!)+1/(16*4!)+1/(64*6!)...oo

Jun 29, 2018

See below.

#### Explanation:

Sorry, at first I could not see the formula of this series. But now I see that it is made up the following way

S_n=1/(4^n*(2n)!) for $n = 0 , 1 , 2 , \ldots \infty$
and the sum is then
$S = {\Sigma}_{n = 0}^{\infty} {S}_{n}$

As I don't see the answer offhand, I wanted to delete my answer, which I am not allowed to. But perhaps someone can continue from there. (Or I'll come back if I work it out.)