Let a. Multiply the power series together as if they were polynomials, collecting all terms that are

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Let
ο0 ο0 and g(x) Σdt. Σαχέ f(x) k=0 k=0 a. Multiply the power series together as if they were polynomials, collecting all terms that are multiples of 1, x, and x2. Write the first three terms of the product f(x)g(x).

b. Find a general expression for the coefficient of xn in the product series, for n = 0, 1, 2,  . . .

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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