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

siddharthBest ResponseYou've already chosen the best response.0
Isn't this the Euler Series?
 2 years ago

shadowfiendBest 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.
 2 years ago

imranmeah91Best ResponseYou've already chosen the best response.2
By integral test, it does converge
 2 years ago

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

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

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

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