If {f} is a sequence of non-negative measurable functions on E, then prove that S₂₁ lim inf fn < lim inf E nx of ff.fn. n→∞ E
If {f} is a sequence of non-negative measurable functions on E, then prove that S₂₁ lim inf fn < lim inf E nx of ff.fn. n→∞ E
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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Transcribed Image Text:If {f} is a sequence of non-negative measurable functions on E, then prove that
S₂₁
lim inf fn < lim inf
E nx
of
ff.fn.
n→∞
E
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