quality:correction, linguistic:translation, structural:scholar_edition, structural:summarization
Definition

A point x {\displaystyle x} of the metric space (X, d) {\displaystyle (X,d)} is the limit of the sequence (x n) {\displaystyle (x_{n})} if:

Symbolically, this is:

This coincides with the definition given for real numbers when X = R {\displaystyle X=\mathbb {R} } and d (x, y) = | x − y | {\displaystyle d(x,y)=|x-y|}.