AP

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

Problem

Evaluate

\displaystyle\lim_{x\to 0}\frac{\ln(1+x)-x+\dfrac{x^{2}}{2}}{x^{3}}

. (a)

-\dfrac{1}{6}

(b)

\dfrac{1}{6}

(c)

\dfrac{1}{3}

(d)

0