Chapter 10, Problem 37RE

Does the Taylor series expansion of f(x) = (5 – 2x + 5x?)12 about a = number of terms? Briefly explain/justify your answer. 1 have only a finite

Compute the first four nonzero terms of the Taylor series of f(x) = 1/x2 centered at a = -1.

Find the Taylor Series for the function f(x) = ax3 + bx2 + cx + d about the point x = 2. What is the coefficient of the linear term (x- 2) if a = 13.1,  b = 9.4, c = 9.3, and d = 21.9.  *Please answer with complete solution. Don't round off. Thanks.