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2. Let g: RR be a measurable function such that fx|g|dm <∞ (here m is the Lebesgue measure). Show that lim n→+∞ (*_ \9(x)|dx + [_~_* 19(x)\dx) = 0. n

2. Let g: RR be a measurable function such that fx|g|dm <∞ (here m is the Lebesgue measure). Show that lim n→+∞ (*_ \9(x)|dx + [_~_* 19(x)\dx) = 0. n

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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2. Let g: RR be a measurable function such that fx|g|dm <∞ (here m is the Lebesgue measure). Show that lim ∞++u (S_*_ \9(x)|dx + [_~_* !9(x)|dx) = 0. n
Transcribed Image Text:2. Let g: RR be a measurable function such that fx|g|dm <∞ (here m is the Lebesgue measure). Show that lim ∞++u (S_*_ \9(x)|dx + [_~_* !9(x)|dx) = 0. n
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