(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This isn't really a problem but it is just something I am curious about, I found a theorem stating that you have two metric spaces and f:X --> Y is uniform continuous and (xn) is a cauchy sequence in X then f(xn) is a cauchy sequence in Y.

2. Relevant equations

This proposition is for uniform continuity but I am wondering if it also holds true for just regular continuity.

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# Homework Help: Cauchy sequences and continuity versus uniform continuity

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