The Maclaurin series for is

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

Problem

The Maclaurin series for

\cos x

1-\dfrac{x^{2}}{2!}+\dfrac{x^{4}}{4!}-\dfrac{x^{6}}{6!}+\cdots

. What is the least even degree of a Maclaurin polynomial that guarantees the magnitude of the error in approximating

\cos(1)

is less than

10^{-5}

? (a)

10

(b)

6

(c)

8

(d)

12