∞ If the radius of convergence of the series Σ unx" is R then the radius of n=1 of the series un x²n is R². convergence ∞ n=1
∞ If the radius of convergence of the series Σ unx" is R then the radius of n=1 of the series un x²n is R². convergence ∞ n=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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Transcribed Image Text:If the radius of convergence
of the series
convergence
of the series Σ unx" is R then the radius of
n=1
n=1
un
Un x²n is R².
Transcribed Image Text:Any bounded sequence converges.
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