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Question
Prove that the series [itex]\sum_{n=0}^{\infty} p^n[/itex] converges in the p-adic metric by showing that the sequence of partial sums converge. What does the series converge to?
Prove that the series [itex]\sum_{n=0}^{\infty} p^n[/itex] converges in the p-adic metric by showing that the sequence of partial sums converge. What does the series converge to?