Infinite Sum: What Does b Converge To?

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Marth361
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Converges to...

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

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

converge to (in terms of "b")?
 
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If the sum goes from zero to infinty, then I would say

[tex] 1 - \cos(b)[/tex]