Use Theorem 2 to prove that the (x) is represented by its Maclaurin series for all x.

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Use Theorem 2 to prove that the ƒ(x) is represented by its Maclaurin series for all x.

THEOREM 2 Let I = (c-R,c + R), where R > 0, and assume that f is infinitely differentiable on 1. Suppose

ƒ(x) = (1 + x)100

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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