Suppose (fk)kɛN is a sequence of functions from A C R™ to R" converging uniformly on A to f : A → R". Prove that if each fk is uniformly continuous on A, then so is f. (Notice that || f(x) – f(y)|| < ||F(x) – fx(x)|| + || fr(x) – fr(y)|| + || fx(y) – f(y)||-)

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