(a) Consider the power series in which the coefficients a n = 1, 2, 3, 1, 2,...
Question:
(a) Consider the power series
in which the coefficients an = 1, 2, 3, 1, 2, 3, 1, . . . are periodic of period p = 3. Find the radius of convergence and the sum of this power series.(b) Consider a power series
in which the coefficients are periodic, (an+p = ap), and an > 0. Find the radius of convergence and the sum of this power series.
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Step by Step Answer:
a To find the radius of convergence of the power series with periodic coefficients we can use the ratio test The ratio test states that if the limit o...View the full answer
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Related Book For 
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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