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==[[Cauchy sequence/Definition|Definition]]==
{{:Cauchy sequence/Definition}}
==Notes==
* There is an [[equivalence relation]] which can be defined on ''Cauchy sequences'' - see ''[[Equivalence of Cauchy sequences]]''
==Relation to [[Convergence (sequence)|convergence]]==
* [[Every convergent sequence is Cauchy]] and
* [[In a complete metric space every Cauchy sequence converges]]
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==See also==
* [[Convergence of a sequence]]
* [[Completeness]]
* [[Equivalence of Cauchy sequences]]
==Notes==
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==References==
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{{Definition|Functional Analysis|Metric Space|Real Analysis|Topology}}