\begin{definition}[Definition:Limit of Sequence/P-adic Numbers]
Let $p$ be a prime number.
Let $\struct {\Q_p, \norm {\, \cdot \,}_p}$ be the $p$-adic numbers.
Let $\sequence {x_n} $ be a sequence in $\Q_p$.
Let $\sequence {x_n}$ converge to $x \in \Q_p$ 
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}