20. Answers are not provided for this problem. Compare your work with that of other students. 1 (a) Find the Taylor series for f(x) = at a=1. Use the Taylor series expansion formula, x $(x) = f'(a) -(x-a)" . Express your answer in summation form. RO n! (b) Find the interval of convergence. (c) Pick an arbitrary number within this interval of convergence (suggestion: use x=3/2), and verify that the partial sums of the series get closer to the true numerical value of f for that value of x. 21. Answers are not provided for this problem. Compare your work with that of other students. Given that the Maclaurin series for et is ", n! (a) How many terms of the series are required to calculate e01 to within an accuracy of error (.00001? Justify using the Alternating Series Test (AST) Estimation Theorem. (b) Using your work from (a), estimate e01 to within an accuracy of error (