Find the sum:

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- December 23rd 2009, 07:09 PMPQREvaluate this sum.
Find the sum:

- December 23rd 2009, 07:45 PMVonNemo19
- December 24th 2009, 08:25 PMPQR
- December 25th 2009, 03:17 AMmr fantastic
- December 25th 2009, 10:25 AMKrizalid
now use and the expansion for the geometric series. Solve the remaining integral.

(By the way, the general term changes because the series starts from )