Comparing maclaurin Polynomials (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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