Suppose (an ) is Cauchy and that for all m, k ≥ 100, |am − ak | < 1/4. Let ε > 0. Does it follow that the interval (a100 − ε, a100 + ε) contains infinitely many terms of (an )? Either show that it does or give a counter-example

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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.