Def 14.1

(𝑥{𝑛}) is called Cauchy if
(𝜀>0)(𝑛0)(𝑛,𝑚>𝑛0)𝑑(𝑥𝑛,𝑥𝑚)<𝜀

Thm

All convergent sequence in complete Metric Space is Cauchy sequence.