Chapter B, Problem 34E

To determine

Whether the statement “Suppose f and g satisfies the hypothesis for l’Hôpital’s Rule. If $\underset{x\to a}{\lim }f\left(x\right)=\underset{x\to a}{\lim }g\left(x\right)=0$, $\underset{x\to a}{\lim }{f}^{\prime }\left(x\right)=L$ and $\underset{x\to a}{\lim }{g}^{\prime }\left(x\right)=M\ne 0$ then $\underset{x\to a}{\lim }\frac{f\left(x\right)}{g\left(x\right)}=\frac{L}{M}$” is true or false.