Shifting power series If the power series ƒ(x) = ∑ck xk has an interval of convergence of | x | < R, what is the interval of convergence of the power series for ƒ(x - a), where a ≠ 0 is a real number?

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 74E
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Shifting power series If the power series ƒ(x) = ∑ck xk has an interval of convergence of | x | < R, what is the interval of convergence of the power series for ƒ(x - a), where a ≠ 0 is a real number?

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