\begin{definition}[Definition:Limit Point/Topology/Sequence]
Let $T = \struct {S, \tau}$ be a topological space.
Let $A \subseteq S$.
Let $\sequence {x_n}$ be a sequence in $A$.
Let $\sequence {x_n}$ converge to a value $\alpha \in S$.
Then $\alpha$ is known as a '''limit (point) of $\sequence {x_n}$ (as $n$ tends to infinity)'''.
\end{definition}