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Cauchy Criterion

A Necessary and Sufficient condition for a Sequence ${S_i}$ to Converge. The Cauchy criterion is satisfied when, for all $\epsilon > 0$, there is a fixed number $N$ such that $\vert S_j-S_i\vert <
\epsilon$ for all $i, j> N$.




© 1996-9 Eric W. Weisstein
1999-05-26