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For which of the following limits can L'Hospital's Rule be correctly applied?

I. $\lim_{ x \to 0 }\dfrac{e^x-1}{x}$ II. $\lim_{ x \to \infty }\dfrac{x^3}{4e^x-1}$ III. $\lim_{ x \to 0 }\dfrac{e^x}{x^2+x}$

I. $\lim_{ x \to 0 }\dfrac{e^x-1}{x}$

II. $\lim_{ x \to \infty }\dfrac{x^3}{4e^x-1}$

III. $\lim_{ x \to 0 }\dfrac{e^x}{x^2+x}$

I only.

II only.

I and II only.

I, II, and III.