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Consider: Note that: So we have: (1) Now: (see here ) The integral on the right clearly converges, thus: where . Hence Recall that: . Thus, going back to (1) : So finally: Hence your series is:
Last edited by PaulRS; December 8th 2009 at 06:08 AM. Reason: Fixing a typo
Originally Posted by PaulRS Consider: Note that: So we have: (1) Now: (see here ) The integral on the right clearly converges, thus: where . Hence Recall that: . Thus, going back to (1) : So finally: Hence your series is: This is great! PaulRS, I'd like to pick your brain!
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