A function f : R R is said to be additive if f(x + y) =

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A function f : R → R is said to be additive if f(x + y) = f(x) + f(y) for all x, y in R. Prove that if f is continuous at some point x0, then it is continuous at every point of R.

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Related Book For  answer-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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