Textbook Problem

Graphical Analysis In Exercises 85 and 86, graph f(x)/g(x) and f'(x)/g'(x) near x = 0. What do you notice about these ratios as x →0? How does this illustrate L’Hôpital’s Rule?

$\begin{array}{ll}f\left(x\right)=\sin 3x,\hfill & g\left(x\right)=\sin 4x\hfill \end{array}$