Concept history

Concept created

A Cauchy sequence of a [[Metric space|metric space]] $(X,d)$ is a [[Sequence|sequence]] $(a_{n})$ such that, for every $\varepsilon >0$, there exists a natural number $N$ such that, for all $m,n\geq N$:
$$d(a_{n},a_{m})\leq \varepsilon.$$