When the Maclaurin polynomial of degree is used to approximate at

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

Problem

When the Maclaurin polynomial of degree

n

is used to approximate

\cos x

x=\dfrac{\pi}{3}

, what is the smallest

n

that ensures the magnitude of the remainder is less than

10^{-8}

? (a)

n=12

(b)

n=11

(c)

n=10

(d)

n=13