chris 3 years ago what is the sum of 1/n^2 from 0 to infinity?

1. PreMedExpert

I would like to know how tosolve that as well.

2. siddharth

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.

4. imranmeah91

By integral test, it does converge

5. siddharth

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

Fair point, it does. Good catch siddharth!

7. chris

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

8. turnand

The answer is $\pi ^{2}/6$