Consider non-dimensional differential equation for the height at the highest point is given by

\begin{equation} h(\mu)= \frac{1}{\mu}- \frac{1}{\mu^2} log_e(1+\mu) \end{equation}

$0<\mu<<1.$

Deduce an estimate to $O(\mu)$ for $h(\mu)$ and compare with $t_h(\mu)=1-\frac{\mu}{2}+...$

=> I really don't how to start this question. please help me.