This is a topic that was just introduced to me today and I'm really confused by it. None of the practice questions in my e-book walk me through how to do it (they're supposed to, these questions are just missing it) so I have only a vague understanding of this.

Use power series operations to find the Taylor series at x =0 for the given function. f(x) = x" sin x (- 1)nx20 + 4 OA. > (2n + 4)! n = 0 (-1)n302n OB. > (2n + 1)! n =0 (- 1)hx20 + 4 Oc. E (2n + 1)! n =0 OD. E (- 1)030 2n (2n + 4)! n =0