Let . In the Maclaurin series for , the coefficient of…

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

Problem

Let

g(x)=\displaystyle\int_{0}^{x}e^{-t^{2}}\,dt

. In the Maclaurin series for

g

, the coefficient of

x^{5}

is (a)

-\dfrac{1}{10}

(b)

\dfrac{1}{5}

(c)

\dfrac{1}{8}

(d)

\dfrac{1}{10}