need some assistance with real analysis showing lebesgue measurable, Thanks for any help you can provide. Exercise 4.6 Let m be Lebesgue measure. Suppose for each n,An is a Lebesgue measurable subset of [0, 1]. Let B consist of thosepoints x that are in infinitely many of the An.(1) Show B is Lebesgue measurable.(2) If m(An) > 8 > 0 for each n, show m(B) > 8.

Given: The Given Lebesgue measurable subset of 0,1 The B consist of those points x that are in…

Answered: Exercise 4.6 Let m be Lebesgue measure.…

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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Exercise 4.6 Let m be Lebesgue measure. Suppose for each n, An is a Lebesgue measurable subset of [0, 1]. Let B consist of those points x that are in infinitely many of the An. (1) Show B is Lebesgue measurable. (2) If m (A O for each n show m(B) 8