Mathematics

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}

1.15\times 10^{-3}

1.39\times 10^{-3}

3.30\times 10^{-3}