\begin{definition}[Definition:Limit of Sequence/Complex Numbers]
Let $\sequence {z_n}$ be a sequence in $\C$.
Let $\sequence {z_n}$ converge to a value $l \in \C$.
Then $l$ is a '''limit of $\sequence {z_n}$ as $n$ tends to infinity'''.
This is usually written:
:$\ds l = \lim_ {n \mathop \to \infty} x_n$
\end{definition}