Question: Please provide a counterexample for the following proposition: A l l C a u c h y s e q u e n c e

Please provide a counterexample for the following proposition:

AllCauchysequencesinQwithrespectto???p?converge.

***Some definition:

We can define Cauchy sequences in Q with respect to the p-adic norm | . |p instead of the absolute value | . 1. Here is the defintiion: a sequence (x;);] in Q is said to be Cauchy with respect to | . |p if for any n E N there is N E N such that for all i, j 2 N, ITi - Tip N, Ix; - Lip

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