For near , the function can be expressed as a power series. What is the coefficient…

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

Problem

For

x

near

0

, the function

\dfrac{\sin x}{x}

can be expressed as a power series. What is the coefficient of

x^{4}

in that series? (a)

-\dfrac{1}{120}

(b)

\dfrac{1}{24}

(c)

\dfrac{1}{120}

(d)

0