(a) Give an example of a function f R* [0, 1] such that max {f, 0}...

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(a) Give an example of a function f ∈ R* [0, 1] such that max {f, 0} does not belong to R*[0; 1].
(b) Can you give an example of f ∈ L[0, 1] such that max{f, 0} ∉ {2 L[0, 1]?

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:10 AM

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(a) Give an example of a function f R* [0, 1] such that max {f, 0}...

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a Let fx 1 k 2 k k for x c k1 c k and f1 0 where the c k are as in Example 10...View the full answer

Introduction to Real Analysis

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