Check the convergence of:

Thank you!

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- Jun 27th 2010, 11:52 AMAlso sprach ZarathustraConvergence proof...
Check the convergence of:

Thank you! - Jul 1st 2010, 05:46 AMCaptainBlack
As becomes large the intervals of integration contract about 0, where the integrand is close to 1. So we need only consider the convergence of:

When the corresponding term in the sum is and when the corresponding term is

So we need only consider the convergence of:

which I'm pretty sure diverges, but will leave the proof of that to the reader

CB