MathItems

Theorem T22

Item references:

D19
D20
D21

Concept references:

sequence
metric-space
sequence-converges-to

Let $\{p_n\}$ be a sequence in a metric space $X$ .

If $p\in X$ , $p'\in X$ , and if $\{p_n\}$ converges to $p$ and $p'$ , then $p'=p$ .

Created at 2016-11-02 12:36

Validations:

Rudin, Walter, The Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics), Theorem 3.2(b), page 48