simplify_sum

• Subject: simplify_sum
• From: Aleksas Domarkas
• Date: Tue, 3 Jul 2012 17:14:56 +0300

How simplify sum

sum(4*k^2/(1-2*k+2*k^2)/(1+2*k+2*k^2),k,1,inf);     ?

The correct answer is

1/2*%pi*tanh(1/2*%pi)=integrate(sin(x)/sinh(x),x,0,inf)

Aleksas D

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