Determine the third-degree Maclaurin polynomial for .

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

Problem

Determine the third-degree Maclaurin polynomial

P_3(x)

for

f(x)=\ln(1+x)

. (a)

P_3(x)=x-\dfrac{x^2}{2}+\dfrac{x^3}{3}

(b)

P_3(x)=x-\dfrac{x^2}{2}+\dfrac{x^3}{6}

(c)

P_3(x)=x+\dfrac{x^2}{2}+\dfrac{x^3}{3}

(d)

P_3(x)=x+\dfrac{x^2}{2}+\dfrac{x^3}{6}