Please answe a,b,c in detail! f(x)=xe^-x/2Thank you so much!

1. The Maclaurin series for e -* is given by 1 1 1-x+-xz (-1) 72 -X + 4 + ... + 2 6 24 s + ... n! On its interval of convergence, this series converges to e . Let f be the function defined by f ( x) = xe z. a. Write the first four nonzero terms and the general term of the Maclaurin series for f. b. Determine the interval of convergence of the Maclaurin series for f. Show the work that leads to your answer. c. Let P4 (x) be the fourth-degree Taylor polynomial for f about x = 0. Use the alternating series error bound to find an upper bound for |PA (2) - f(2)1