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

p(x)=\dfrac{e^{x}-1}{x}

. What is the coefficient of

x^{3}

in the Maclaurin series of

p(x)^{2}

? (a)

\dfrac{5}{24}

(b)

\dfrac{1}{4}

(c)

\dfrac{1}{6}

(d)

\dfrac{1}{8}