I need some help, any Ideas?
in L'Hospital's rule, replace the assumption that $\frac{f}{g}$ tends to $\frac{0}{0}$ with the assumption that it tends to $\frac{\infty}{\infty}$. if $\frac{f'}{g'}$ tends to $L$. prove that $\frac{f}{g}$ tends to $L$ also.