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# Let g: R-+ R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g

ISBN: 9780471321484 424

## Solution for problem 14 Chapter 5.2

Introduction to Real Analysis | 3rd Edition

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Problem 14

Let g: R-+ R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g is continuous at x = 0, then g is continuous at every point of R. Also if we have g(a) = 0 for some a e R, then g(x) = 0 for all x e R.

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##### ISBN: 9780471321484

The full step-by-step solution to problem: 14 from chapter: 5.2 was answered by , our top Calculus solution expert on 03/14/18, 07:51PM. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Since the solution to 14 from 5.2 chapter was answered, more than 214 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. The answer to “Let g: R-+ R satisfy the relation g(x + y) = g(x)g(y) for all x, y in R. Show that if g is continuous at x = 0, then g is continuous at every point of R. Also if we have g(a) = 0 for some a e R, then g(x) = 0 for all x e R.” is broken down into a number of easy to follow steps, and 58 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 48 chapters, and 831 solutions.

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