# Evaluating Infinite Series

1. Dec 14, 2006

### lvuittongirl22

How do I evaluate the infinite series (2^n)/(n!) from n=0 to infinity?
(I dont know how you put the little E symbol and all that in so I had to write it out.)

I already found that it converges to 0 using the ratio test, but I dont know quite how to evaluate it.

Any help would be mondo appreciated! Thank you!!!

2. Dec 14, 2006

### HallsofIvy

Have you dealt with Taylor's series? In particular, do you know the Taylor's series for ex?

3. Dec 14, 2006

### lvuittongirl22

We went over them, but I'm not sure how to use them...