3) Consider the series of functions n Σ(12) (2)", ,XER. n=0 Prove that the series converges for all x E R, but the convergence is not uniform.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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3) Consider the series of functions
Σ (17²2)".
n=0
Prove that the series converges for all x ER, but the convergence is not uniform.
,XER.
Transcribed Image Text:3) Consider the series of functions Σ (17²2)". n=0 Prove that the series converges for all x ER, but the convergence is not uniform. ,XER.
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