Let be the Taylor polynomial of degree 2 for centered at

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

Problem

Let

P_{2}(x)

be the Taylor polynomial of degree 2 for

\ln x

centered at

x=1

. When

P_{2}(x)

is used to approximate

\ln(1.2)

, which of the following is an upper bound for the magnitude of the resulting error? (a)

1.54\times10^{-3}

(b)

2.67\times10^{-3}

(c)

1.33\times10^{-2}

(d)

2.00\times10^{-2}