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For indeterminate forms $$\frac{0}{0}$$ or $$\frac{\infty}{\infty}$$:
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}$$
Provided the right-hand limit exists. Applies for $$x \to \infty$$ too.
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For indeterminate forms $$\frac{0}{0}$$ or $$\frac{\infty}{\infty}$$:
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}$$
Provided the right-hand limit exists. Applies for $$x \to \infty$$ too.
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