L'Hôpital's Rule Process
I. Differentiating the numerator $$e^{2*x}-1$$ yields $$2*e^{2*x}$$.
II. Differentiating the denominator $$\sin(3*x)$$ yields $$3*\cos(3*x)$$.
III. Applying L’Hôpital’s Rule and evaluating the result at $$x=0$$ gives the limit as $$\frac{2}{3}$$.
Which of the above statements are true regarding the evaluation of the limit?