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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)

Advanced Engineering Mathematics
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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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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