if An>=0 and summation(An) converge, then summation ((An)^2) also converge.please...
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Originally Posted by nzm88 if An>=0 and summation(An) converge, then summation ((An)^2) also converge.please... This is a corollary of a more comprehensive theorem. If converges absolutely then converges as well.
To see this merely note that since there exists some such that and so and the conclusion follows.
Well from some point on, say for , we will have . But then ; so just compare the tails of the two series.
Great minds think alike
Originally Posted by Bruno J. Great minds think alike Agreed. We'll probably be in a think-tank someday together. We can then go to bars and try to impress women with our bridling intellect and manish good looks.
It'd be an honour to wing-man you!
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