Question: 3. (10 points) Let f : B - R be a uniformly continuous function. Let A be a nonempty subset of B. Prove that the

3. (10 points) Let f : B - R be a

3. (10 points) Let f : B - R be a uniformly continuous function. Let A be a nonempty subset of B. Prove that the restriction of f to A is a uniformly continuous function. Note: This function is denoted by fA : A - R. It is simply defined by flA(x) = f(x) for r E A

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