2. Prove that the series n"(1 + na") n=1 converges uniformly on every finite interval in R if a >. Is the convergence uniform on R?

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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2. Prove that the series
n°(1+ nx?)
converges uniformly on every finite interval in R if a > }. Is the convergence uniform on
n=1
R?
Transcribed Image Text:2. Prove that the series n°(1+ nx?) converges uniformly on every finite interval in R if a > }. Is the convergence uniform on n=1 R?
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