Verify that T n (x) = 1 + x + x 2 + +

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Verify that Tn(x) = 1 + x + x2 + · · · + xn is the nth Maclaurin polynomial of ƒ(x) = 1/(1 − x). Show using substitution that the nth Maclaurin polynomial for ƒ(x) = 1/(1 − x/4) is

Tn(x) =1 + ax + What is the nth Maclaurin polynomial for g(x) = = 1 1 1 + x ? +...+ 1 pr 4n

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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