- #1
Oxymoron
- 870
- 0
Question
Consider the sequence [itex]\{p^n\}_{n\in\mathbb{N}}[/itex]. Prove that this sequence is Cauchy with respect to the p-adic metric on [itex]\mathbb{Q}[/itex]. What is the limit of the sequence?
Consider the sequence [itex]\{p^n\}_{n\in\mathbb{N}}[/itex]. Prove that this sequence is Cauchy with respect to the p-adic metric on [itex]\mathbb{Q}[/itex]. What is the limit of the sequence?