How can we set up a sequence in $\mathbb{Q}$ which is convergent in $\mathbb{Q_5}$, but not convergent in $\mathbb{Q_7}$?
2026-03-26 21:34:58.1774560898
convergent sequence in set of p-adic numbers
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Hint: What is $\lim_{n\to\infty}5^n$ in $\mathbb Q_5$?