(a) Use your computer algebra system to find P7(x) and Q7(x), the Taylor polynomials of
Chapter 0, Problem 61(choose chapter or problem)
(a) Use your computer algebra system to find P7(x) and Q7(x), the Taylor polynomials of degree 7 about x = 0 for f(x) = sin x and g(x) = sin x cos x. (b) Find the ratio between the coefficient of x3 in the two polynomials. Do the same for the coefficients of x5 and x7. (c) Describe the pattern in the ratios that you computed in part (b). Explain it using the identity sin(2x) = 2 sin x cos x
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