Convergent Sequence in Metric Space has Unique Limit/Proof 2

Theorem
Let $\left({X, d}\right)$ be a metric space.

Let $\left \langle {x_n} \right \rangle$ be a sequence in $\left({X, d}\right)$.

Then $\left \langle {x_n} \right \rangle$ can have at most one limit.

Proof
We have that a Metric Space is Hausdorff.

The result then follows from Convergent Sequence in Hausdorff Space has Unique Limit‎.