If {fn}n=1 is a pointwise convergent, then {fn}=1 is uniformly convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 34E
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If {fn}n=1 is a pointwise convergent, then {fn}n=1 is uniformly convergent.
Transcribed Image Text:If {fn}n=1 is a pointwise convergent, then {fn}n=1 is uniformly convergent.
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