A degree-1 Taylor polynomial for centered at is used to approximate

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

Problem

A degree-1 Taylor polynomial for

\cos x

centered at

x=\pi/3

is used to approximate

\cos(1.1)

. Which of the following values is the least upper bound on the magnitude of the error for this approximation? (a)

5.75\times 10^{-4}

(b)

1.15\times 10^{-3}

(c)

1.39\times 10^{-3}

(d)

3.30\times 10^{-3}