Re: Easy Question About p-adics


Arturo Magidin wrote:

> Consider the sequence:
>
> 1, p, p^2, p^3, p^4, ..., p^n, ...
>
> This is a Cauchy sequence in the p-metric, because ||p^n - p^m|| =
> p^{-min(n,m)}.
>
> But the sequence does not converge to any rational number.

Doesn't it converge to zero?

.

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