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I would like to know how tosolve that as well.

Isn't this the Euler Series?

By integral test, it does converge

Oh right, this is the basel problem that Euler solved, which made him famous

Fair point, it does. Good catch siddharth!

ah sorry, i should have said 1 to infinity :-). 1/0^2 can obviously not converge

The answer is \[\pi ^{2}/6\]