3. Give an example of a non-Lebesgue measurable function f: IR→ IR such that || isa measurable function and f((a)) is a measurable set for each a € IR.

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Answered: 3. Give an example of a non-Lebesgue…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q5.3
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3. Give an example of a non-Lebesgue measurable function f: IR→ IR such that || is a measurable function and f((a)) is a measurable set for each a € IR.