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Suppose that E is a set of measure 0 and that f is bounded on E. Suppose that f is measurable. Prove that f = 0. %3|

Suppose that E is a set of measure 0 and that f is bounded on E. Suppose that f is measurable. Prove that f = 0. %3|

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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Suppose that E is a set of measure 0 and that f is bounded on E. Suppose that f is measurable. Prove that f 0.
Transcribed Image Text:Suppose that E is a set of measure 0 and that f is bounded on E. Suppose that f is measurable. Prove that f 0.
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