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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?