Definition:Convergent Sequence/P-adic Numbers

Definition
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 $\Q_p$.

Also see

 * Definition:P-adic Metric
 * P-adic Metric is Metric
 * Definition:Convergent Real Sequence
 * Equivalence of Definitions of Convergent P-adic Sequence