Which of the following is the third-degree Taylor polynomial for centered at ?

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

Problem

Which of the following is the third-degree Taylor polynomial for

\sin x

centered at

x=0

? (a)

x+\dfrac{x^{3}}{6}

(b)

x-\dfrac{x^{3}}{3}

(c)

x-\dfrac{x^{3}}{6}

(d)

1-\dfrac{x^{2}}{2}