When approximating with its Maclaurin polynomial

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

Problem

When approximating

e^{0.5}

with its Maclaurin polynomial, what is the least integer

n

such that the magnitude of the error is guaranteed to be less than

10^{-4}

? (a)

n=6

(b)

n=7

(c)

n=5

(d)

n=4