# Converges to

1. Dec 12, 2009

### Marth361

Converges to....

If "b" is any constant number, what does the infinite sum

$$\sum$$ [(-1)^n * b^(2n+2)] / (2n+2)!

converge to (in terms of "b")?

2. Dec 12, 2009

### TheoMcCloskey

Re: Converges to....

If the sum goes from zero to infinty, then I would say

$$1 - \cos(b)$$