A function I: R ~ R is said to be periodic on R if there exists a number p > 0 such that 1 (x + p) = 1 (x) for all x e R. Prove that a continuous periodic function on R is bounded and uniformly continuous on R.
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Textbook: Introduction to Real Analysis
Author: Robert G. Bartle, Donald R. Sherbert
This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. The full step-by-step solution to problem: 14 from chapter: 5.4 was answered by , our top Calculus solution expert on 03/14/18, 07:51PM. The answer to “A function I: R ~ R is said to be periodic on R if there exists a number p > 0 such that 1 (x + p) = 1 (x) for all x e R. Prove that a continuous periodic function on R is bounded and uniformly continuous on R.” is broken down into a number of easy to follow steps, and 50 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 48 chapters, and 831 solutions. Since the solution to 14 from 5.4 chapter was answered, more than 226 students have viewed the full step-by-step answer. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484.