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^{6}

in the Maclaurin series for

e^{2x}

. (a)

\dfrac{64}{120}

(b)

\dfrac{1}{720}

(c)

\dfrac{4}{45}

(d)

\dfrac{32}{720}