If the power series f(x) = c k x k has an interval of convergence of |x|

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

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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