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5. Prove: Let A₁, A2, be measureable sets such that limn→∞ µ(An) Im C = 0. Then for every

5. Prove: Let A₁, A2, be measureable sets such that limn→∞ µ(An) Im C = 0. Then for every

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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5. Prove: Let A₁, A2, be measureable sets such that limn→∞ μ(An) = 0. Then for every ƒ € L¹(R), we have limn→∞ SA₂ f = 0.
Transcribed Image Text:5. Prove: Let A₁, A2, be measureable sets such that limn→∞ μ(An) = 0. Then for every ƒ € L¹(R), we have limn→∞ SA₂ f = 0.
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