Which of the following gives the first three non-zero terms of the Maclaurin series for ?

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

Problem

Which of the following gives the first three non-zero terms of the Maclaurin series for

\dfrac{\ln(1+x)}{x}

? (a)

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

(b)

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

(c)

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

(d)

1-\dfrac{x}{2}+\dfrac{x^{2}}{4}