Question: 8 (4 marks Consider the following function f (x) = x sin (t) dt. 5+ Which of the following options is the Taylor series of

8 (4 marks Consider the following function f (x) = x sin (t) dt. 5+ Which of the following options is the Taylor series of f(x) centred at 0? (A) (- 1)n x 2+ (2n +1)! (2 n +1) (C) oo (- 1)n x2n (2n +1)! (B) (-1)next (D) DO (- 1)n t2n (2n +1)! (n +1) (2n +1)

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