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Suppose that f is a continuous additive function on R. If c := f (1), show that we have

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

Solution for problem 13 Chapter 5.2

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 13

Suppose that f is a continuous additive function on R. If c := f (1), show that we have f(x) =ex for all x e JR. [Hint: First show that if r is a rational number, then f(r) =cr.]

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Study Guide #1  Mental disorder = group of emotional, cognitive, or behavioral symptoms that cause distress or significant problems  Prevalence = % of ppl within a population with a disorder at a given time  Lifetime prevalence = total proportion of ppl in a population who have ever had a disorder  Incidence = onset or occurrence of a disorder over a period...

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Chapter 5.2, Problem 13 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 is a continuous additive function on R. If c := f (1), show that we have

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