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Could someone please help me with this problem A function f: R - R is said to be periodic if there exists a number k

Could someone please help me with this problem

A function f: R - R is said to be periodic if there exists a number k > 0 such that f(a + k) = f(a) for all a E R. Suppose that f : R - R is continuous and periodic. Prove that f is bounded and uniformly continuous on R .using E- S

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