TOPICS
Search

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 |S_j-S_i|<epsilon for all i,j>N.


Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Cauchy Criterion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CauchyCriterion.html

Subject classifications