(a) Compare the Maclaurin polynomials of degree 4 and degree 5, respectively, for the functions f(x) =...

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(a) Compare the Maclaurin polynomials of degree 4 and degree 5, respectively, for the functions f(x) = ex and g(x) = xex. What is the relationship between them?

(b) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f (x) = sin x to find a Maclaurin polynomial of degree 6 for the function g(x) = x sin x.

(c) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f (x) = sin x to find a Maclaurin polynomial of degree 4 for the function g(x) = (sin x)/x.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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