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what is the sum of 1/n^2 from 0 to infinity?

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I would like to know how tosolve that as well.
Isn't this the Euler Series?
Yeah, I think this sum doesn't converge, but I'm not sure. The ratio test and root test seem to be inconclusive in this case.

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Other answers:

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 \[\pi ^{2}/6\]

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