Determine the coefficient of in the Maclaurin series for .

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

Problem

Determine the coefficient of

x^{7}

in the Maclaurin series for

x\,e^{x^{2}}

. (a)

\dfrac{1}{720}

(b)

\dfrac{1}{24}

(c)

\dfrac{1}{6}

(d)

\dfrac{1}{5040}