\begin{definition}[Definition:Limit of Sequence/Normed Division Ring]
Let $\struct {R, \norm {\, \cdot \,} }$ be a normed division ring.
Let $\sequence {x_n} $ be a sequence in $R$.
Let $\sequence {x_n}$ converge to $x \in R$.
Then $x$ is a '''limit of $\sequence {x_n}$ as $n$ tends to infinity''' which is usually written:
:$\ds x = \lim_{n \mathop \to \infty} x_n$
\end{definition}