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L'Hôpital's Rule Process

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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?

A

All three statements are true.

B

Only statement II is true.

C

Only statements I and III are true.

D

Only statements II and III are true.

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