∞ 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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 1E: A geometric sequence is a sequence in which the _______________ of successive terms is constant.
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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: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.
Any bounded sequence converges.
Transcribed Image Text:Any bounded sequence converges.
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