1. Let {xn?} be a sequence of real numbers and let yn?=xn??xn+1? for each n?N. Prove that the series n=1???yn? converges iff the sequence {xn?} converges.

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(Solved): 1. Let {xn} be a sequence of real numbers and let yn=xnxn+1 for each nN. Prove th ...

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