Exercise 1. In this exercise we will learn a way to compute approximations for values of the integral F(x) = o' e-t dt. a) Determine the power series of e * centred at 0. b) Let Pr denote the Taylor polynomial of F centred at 0 of degree n. Determine P2. c) Use the bounds for alternating decreasing series to find the error between F(1) and P2(1). d) Find the degree n of the polynomial Pr such that Pn(1) gives us 8 correct significant figures