How do we get 3*pi/4 instead of a numerical solution?

Question:How do we get 3*pi/4 instead of a numerical solution?

Posted: Alfred_F 280 Product: Maple

March 06 2025

For the following task I only get the numerical solution 2.356... :
sum(n=1 to oo)[arctan(2/n^2)]
The known "closed" result is 3*pi/4.

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