Calculate the coefficient of in the product .

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Calculate the coefficient of

x^{4}

in the product

(1-x)^{-2}\sin x

. (a)

4

(b)

\dfrac{13}{3}

(c)

\dfrac{11}{3}

(d)

\dfrac{8}{3}