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Let fn(x) n²x²(1 – x) on [0, 1]. Let e > 0. Does lim,0 m ({x € [0, 1]|fn(x) > e}) exist?

Let fn(x) n²x²(1 – x) on [0, 1]. Let e > 0. Does lim,0 m ({x € [0, 1]|fn(x) > e}) exist?

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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This is a real analysis question.  Here the m stands for the measure.

n²x²(1 – x) on [0, 1]. Let e > 0. Does lim0 m ({x E [0, 1]|fn(x) > e}) exist?
Transcribed Image Text:n²x²(1 – x) on [0, 1]. Let e > 0. Does lim0 m ({x E [0, 1]|fn(x) > e}) exist?
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