Cauchy sequence
From Maths
Definition
Given a metric space [ilmath](X,d)[/ilmath] and a sequence [ilmath](x_n)_{n=1}^\infty\subseteq X[/ilmath] is said to be a Cauchy sequence[1] if:
- {{M|\foryes is simply:
- For any arbitrary distance apart, there exists a point such that any two points in the sequence after that point are within that arbitrary distance apart.
References
- ↑ Functional Analysis - George Bachman and Lawrence Narici
