Let be the second-degree Taylor polynomial for centered at

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

Problem

Let

P_{2}(x)

be the second-degree Taylor polynomial for

\ln x

centered at

x=1

. Using

P_{2}(x)

, which value is the closest approximation to

\ln(0.9)

? (a)

-0.110

(b)

-0.100

(c)

-0.105

(d)

-0.095