Determine the coefficient of in the Maclaurin series of .

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

Problem

Determine the coefficient of

x^{3}

in the Maclaurin series of

e^{x}\cos x

. (a)

\dfrac{1}{6}

(b)

-\dfrac{1}{6}

(c)

-\dfrac{1}{3}

(d)

\dfrac{1}{3}