How to find the sum using the Maclaurin Series

118 Views Asked by At

How to find the sum of using the Maclaurin Series.

$\sum _{ k=0 }^{ \infty }\frac{ (-1)^ k(\pi^{2k+1}) } {(4^{2k+1})(2k+1)!}$

I got the answer as $1/\sqrt { 2 } $

Can anyone please verify whether this is correct or no