A function f : R R is said to be periodic on R if there exists

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A function f : R → R is said to be periodic on R if there exists a number p > 0 such that f(x + p) = f(x) for all x ∈ R. Prove that a continuous periodic function on R is bounded and uniformly continuous on R.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:01 AM

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A function f : R R is said to be periodic on R if there exists

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Since f is bounded on 0 p it follows t...View the full answer

Introduction to Real Analysis

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