What is the third-degree Taylor polynomial about for ?

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

Problem

What is the third-degree Taylor polynomial about

x=0

for

\ln(1+x)

? (a)

x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{3}

(b)

x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{3}

(c)

x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}

(d)

x-\dfrac{x^{2}}{2}+\dfrac{x^{3}}{2}