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## Homework Statement

I have the series [tex]\sum\frac{b^{(2n+2)}(-1)^{n}}{(2n+2)!}[/tex] from n=0 to infinity. I am trying to find what it converges to in terms of b.

## Homework Equations

Using the Ratio Test I have established that it does converge.

## The Attempt at a Solution

I have scoured the internet, my notes, and all my books, but I can't seem to find a way to find what these kinds of series (power I believe) converge to, only ways to see if they converge or not. I just need to find out the method to calculate what it converges to in terms of b. Thank you for any assistance.