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# Suppose that f is a continuous additive function on R. If c := f (1), show that we have ISBN: 9780471321484 424

## Solution for problem 13 Chapter 5.2

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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##### ISBN: 9780471321484

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