Use the Maclaurin expansion for e- to express the function F(x) = f et dt as an alternating power series in x (Figure 1). (a) How many terms of the Maclaurin series are needed to approximate the integral for x = 1 to within an error of at most 0.001? (b) CAS Carry out the computation and check your answer using a computer algebra system. F(x) T(x) -X 2 -1 dt. FIGURE 1 The Maclaurin polynomial T5(x) for F(1) = -1 Jo