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Suppose that f: R ~ R is continuous on Rand that /(r) = 0 for every rational number r

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert ISBN: 9780471321484 424

Solution for problem 12 Chapter 5.1

Introduction to Real Analysis | 3rd Edition

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Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

Introduction to Real Analysis | 3rd Edition

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Problem 12

Suppose that f: R ~ R is continuous on Rand that /(r) = 0 for every rational number r. Prove that f (x) = 0 for all x e R.

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Chapter 5.1, Problem 12 is Solved
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

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Suppose that f: R ~ R is continuous on Rand that /(r) = 0 for every rational number r

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