(b) Now, lets evaluate the same integral using power series. First, find the power series for the function 24 f(z) Then, integrate it from 0 to 2, and call it S. S should be an infinite series. What are the first few terms of S? ao = 12 aj = 12 12 a3 12 (c) The answers to part (a) and (b) are equal (why?). Hence, if you divide your infinite series from (b) by k (the answer to (a)), you have found an estimate for the value of r in terms of an infinite series. Approximate the value of r by the first 5 terms. 1052 315 (d) What is the upper bound for your error of your estimate if you use the first 10 terms? (Use the alternating series estimation.) 4 23

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