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L'Hôpital's Rule Process

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I. Differentiating the numerator e2∗x−1e^{2*x}-1 yields 2∗e2∗x2*e^{2*x}.

II. Differentiating the denominator sin⁡(3∗x)\sin(3*x) yields 3∗cos⁡(3∗x)3*\cos(3*x).

III. Applying L’Hôpital’s Rule and evaluating the result at x=0x=0 gives the limit as 23\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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