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

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

shadowfiend Group TitleBest ResponseYou've already chosen the best response.0
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.
 3 years ago

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

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

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

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

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