ONLY SOLVE FOR (b)

4.1 The following infinite series can be used to approximate e: .In ex = 1 +x+-+-+ + 2 3! n! (a) Prove that this Maclaurin series expansion is a special case of the Taylor series expansion [Eq. (4.7)] with Xi = 0 and h = x. Xi = 0.2. Employ the zero-, first-, second-, and third-order versions and compute the lel for each case. (b) Use the Taylor series to estimate f(x)at for