Use the following information to complete parts a. and b. below. f(x) = -, a=2 . . . a. Find the first four nonzero terms of the Taylor series for the given function centered at a. O A. The first four terms are - 2 + (x - 2) - (x - 2)" + 5 (x -2)3. O B. The first four terms are - 2 + (x - 2) - 5(x - 2)? + (x -2)3. O C. The first four terms are 2 - (x - 2) + 7 (x - 2)2 - (x -2)3. O D. The first four terms are 2 - (x - 2) + (x - 2)-- 5 (x -2)3 b. Write the power series using summation notation. ( - 1 ) K OA. > OB. T (- 1)(x - 2)k k=0 2" (x-2)k 2K - 1 k=0 (-1)* + 1(x - 2) k 00 Oc. Z ( -1 ) * + 1 k - 2 OD. > k=0 k=02"-(x-2)k