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

1. PreMedExpert Group Title

I would like to know how tosolve that as well.

2. siddharth Group Title

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 Group Title

By integral test, it does converge

5. siddharth Group Title

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

Fair point, it does. Good catch siddharth!

7. chris Group Title

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

8. turnand Group Title

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