MHB Finding the value at which the series converges

[tmt1]

I need to use the maclaurin series to find where this series converges:

$$\sum_{n = 0}^{\infty} (-1)^n \frac{\pi^{2n}}{(2n)!}$$

But I'm not sure how to do this.

 

[Greg]

Where is $x$? As it is, the series is equivalent to $\cos(\pi)=-1$ and the MacLaurin series for $\cos(x)$ converges for all $x$.