Infinite Sum: What Does b Converge To?

[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")?

 

[TheoMcCloskey]

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

$$1 - \cos(b)$$