On 2014-06-06, kcrisman <[email protected]> wrote:

> lim(1/n^2*integrate(sin((2*n+1)*x)/sinh(x),x,0,pi/2),n=infinity)

I couldn't make any progress with the integral (in Maxima).
Computing the integral numerically with quad_qawo (same function should
be in Sage somewhere) suggests that it's pi/2 as n increases without
bound. So I'm guessing the limit is zero.

If you need a proof, maybe you can show the integral is bounded,
therefore the limit is zero.

Sorry I can't be more helpful,

Robert Dodier

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