Mathematics

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}

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

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

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