ThmDex – An index of mathematical definitions, results, and conjectures.
F10436
Formulation 0
Let $M = (X, \mathcal{T}_d, d)$ be a D1107: Metric space such that
(i) $x : \mathbb{N} \to X$ is a D336: Convergent sequence in $M$
(i) $\lim x$ is the D3000: Set of sequence limit points of $x$ in $M$
Then \begin{equation} |\lim x| = 1 \end{equation}