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2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x)

2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x)

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x) <cf(x) <c- g(x) 3q Q s.t. f(x) <q and < g(x) <c-q.
Transcribed Image Text:2) Let ECR be measurable. If f, g: E→ R are measurable then prove that f+g: ER is also measurable. Hint: Prove that f(x) + g(x) <cf(x) <c- g(x) 3q Q s.t. f(x) <q and < g(x) <c-q.
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