b) Suppose (xn) does not converge to 0. Then there exists e > 0 such that all except for finitely many terms of (xn) lie outside of the interval (-e, e). The claim is Proof of answer:

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.