Problem 3. Consider the series on R given by xn 1+ xn n=1 Show that this series converges pointwise on (–1,1) and uniformly on any compact subset of (-1,1).
Problem 3. Consider the series on R given by xn 1+ xn n=1 Show that this series converges pointwise on (–1,1) and uniformly on any compact subset of (-1,1).
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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Question
Pointwise conv
Transcribed Image Text:Problem 3. Consider the series on R given by
Σ
1+ xn
n=1
Show that this series converges pointwise on (-1,1) and uniformly on any compact subset of (-1,1).
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