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SumThePrimes

- 13

- 0

I've recently been confronted with the limit as n goes to 0 of sin([itex]\pi[/itex]*n/4)*[itex]\Gamma[/itex](x) , and have no idea on how to confront the problem, as I have little familiarity with the gamma function. Is there any relatively easy ways to prove this, or at least ways that use methods not difficult to learn? I would very much like to see a proof, as wolfram alpha gives a answer of [itex]\pi[/itex]/4, and the answer is important relating to some very interesting alternating series.

edit 2: Wow, I haven't solved this problem, but if wolfram alpha is right, soon I'll be summing alternating series never summed before :) Well, ones I've never seen summed before at least...

edit 2: Wow, I haven't solved this problem, but if wolfram alpha is right, soon I'll be summing alternating series never summed before :) Well, ones I've never seen summed before at least...

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