Question: 6. Show that a uniformly continuous function preserves Cauchy sequences. In other words, show that, if f: S - R is uniformly continuous on some

6. Show that a uniformly continuous function preserves Cauchy sequences. In other words, show that, if f: S - R" is uniformly continuous on some set S C R", and (In) is a Cauchy sequence in S, then (f(T,)) is a Cauchy sequence

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