Please solve the attached question, and please show all work that is needed to get the answer. I am trying to better understand the process/the question.

Thank you. =)

Use the following information to complete parts a. and b. below. f(x) = 7 Inx, a =3 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. O A. The first four nonzero terms are 7 14 w / 18 (X - 3) - 77 (x - 3)2 + - (x - 3)3. O B. The first four nonzero terms are 7 7 7 - + 7 18 (X - 3) - 81 ( X - 3)2 +. 324 (X - 3)3 O C. The first four nonzero terms are 7 In 3 + ;(x - 3) - 7 (x - 3)~+7 7 7 7 By ( x - 3)3 O D. The first four nonzero terms are 7 In 3 7 7 3(x - 3) - (x - 3)2 _ _ 14 27 ( x - 3)3 b. Write the power series using summation notation. O A. 7In 3 + > (-1)k 7 k=0 3k (x - 3)k 7 ( - 1 ) *+ 1 O B. 7In 3+ k = 0 3"(x -3)* Oc. 7In 3+ > (-1)*+1. 7 k.qk (* - 3 ) k k = 1 OD. 7In 3+ > 7(- 1)k+ 1 (x - 3)k k = 1 3k Q13