cauchy sequence

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|analysis}} Any sequence <math> x_n </math> in a [[metric space]] with metric ''d'' such that for every <math> \epsilon > 0 </math> there exists a natural number ''N'' such that for all <math> k, m \ge N </math>, <math> d(x_k, x_m) < \epsilon </math>.

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