Let . What is the coefficient of in the Maclaurin series of…

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

Problem

Let

g(x)=\sin x\,e^{x}

. What is the coefficient of

x^{4}

in the Maclaurin series of

g(x)

? (a)

-\dfrac{1}{6}

(b)

\dfrac{1}{12}

(c)

0

(d)

\dfrac{1}{6}