K Use the following information to complete parts a. and b. below. f(x)=sinx, a 5x 3 a. Find the first three nonzero terms of the Taylor series for the given function centered at a The first nonzero term of the series is The second nonzero term of the series is The third nonzero term of the series is b. Write the power series using summation notation. Choose the correct answer below. 00 . 3 (-1) 2 (2k+1)! 2k 00 5 1 (-1) 2k+1 5 X- + 3 X- 2 (2k)! k=0 k=0 00 OB. OC. 3 (-) 2k 00 5 1 (-x)k 2k+1 5x x- + X- 2 (2k)! 3 2 (2k+1)! 3 k=0 k=0 00 3 (-1) 2k 00 5m X- 2 (2k)! 3 6). 1 (-1)k 2k+1 5 + 2 (2k+1)! 3 k=0 k=0 00 OD. 3 (-)* 2k 2k+1 5x 1 5mm + 2 (2k+1)! 3 X- 2 (2k)! 3 k=0 k=0