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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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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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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