Let fn(x) = x¹(1-x), r [0, 1] and n € N. Show that fn = 0 on [0, 1] but that {f} is not uniformly convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Let
$n(2)="(1−a), 2 € [0,1] and neN.
Show that fn = 0 on [0, 1] but that {f} is not uniformly convergent.
Transcribed Image Text:Let $n(2)="(1−a), 2 € [0,1] and neN. Show that fn = 0 on [0, 1] but that {f} is not uniformly convergent.
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