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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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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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