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

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PreMedExpert
 3 years ago
Best ResponseYou've already chosen the best response.0I would like to know how tosolve that as well.

siddharth
 3 years ago
Best ResponseYou've already chosen the best response.0Isn't this the Euler Series?

shadowfiend
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah, 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.

imranmeah91
 3 years ago
Best ResponseYou've already chosen the best response.2By integral test, it does converge

siddharth
 3 years ago
Best ResponseYou've already chosen the best response.0Oh right, this is the basel problem that Euler solved, which made him famous

shadowfiend
 3 years ago
Best ResponseYou've already chosen the best response.0Fair point, it does. Good catch siddharth!

chris
 3 years ago
Best ResponseYou've already chosen the best response.0ah sorry, i should have said 1 to infinity :). 1/0^2 can obviously not converge

turnand
 3 years ago
Best ResponseYou've already chosen the best response.0The answer is \[\pi ^{2}/6\]
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