if An>=0 and summation(An) converge, then summation ((An)^2) also converge.please...

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- Feb 8th 2010, 08:59 PMnzm88prove this
if An>=0 and summation(An) converge, then summation ((An)^2) also converge.please...

- Feb 8th 2010, 09:12 PMDrexel28
- Feb 8th 2010, 09:12 PMBruno J.
Well from some point on, say for , we will have . But then ; so just compare the tails of the two series.

- Feb 8th 2010, 09:13 PMBruno J.
Great minds think alike (Nerd)

- Feb 8th 2010, 09:14 PMDrexel28
- Feb 8th 2010, 09:20 PMBruno J.
It'd be an honour to wing-man you! (Rock)