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

ISBN: 9780471321484 424

## Solution for problem 12 Chapter 5.1

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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