Cauchy sequence
In mathematics, a Cauchy sequence (French pronunciation: [koʃi]; English: KOH-shee), named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses. More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.
Cauchy sequence - Wikipedia Jump to content From Wikipedia, the free encyclopedia Sequence of points that get progressively closer to each other (x_n),</math> shown in blue, as <math>x_n</math> versus <math>n.</math> If the [[Space (mathematics)|space]] containing the sequence is [[Complete metric space|complete]], then the sequence has a [[Limit (mathematics)|limit]]."},"image2":{"wt":"Cauchy sequence illustration2.svg"},"class2":{"wt":"skin-invert-image"},"caption2":{"wt":"(b) A sequence that is not Cauchy. The [[Element (mathematics)|elements]] of the sequence do not get arbitrarily close t
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