Prove that if converges with radius of convergence R, then the power series for x m f(x)

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Prove that if Σαχό f(x) k=0 converges with radius of convergence R, then the power series for xm f(x) also converges with radius of convergence R, for positive integers m.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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