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What is an indeterminate form?
An expression whose limit cannot be evaluated directly, such as $\frac{0}{0}$ or $\frac{\infty}{\infty}$.
What does L'Hôpital's Rule help evaluate?
Limits of indeterminate forms.
What is L'Hôpital's Rule?
If $\lim_{x\to a}\frac{f(x)}{g(x)}$ is of the form $\frac{0}{0}$ or $\frac{\infty}{\infty}$, then $\lim_{x\to a}\frac{f(x)}{g(x)} = \lim_{x\to a}\frac{f'(x)}{g'(x)}$.
Explain the first step when evaluating limits using L'Hôpital's Rule.
First, verify that the limit is in an indeterminate form, either $\frac{0}{0}$ or $\frac{\infty}{\infty}$.
What must you do before applying L'Hôpital's Rule in a Free Response Question?
Show that the limit of the numerator and the limit of the denominator both approach 0 or both approach $\pm \infty$.
What does it mean to 'verify conditions' for L'Hopital's Rule?
It means showing that both $\lim_{x \to a} f(x) = 0$ and $\lim_{x \to a} g(x) = 0$ or that both limits approach $\pm \infty$.
When can you apply L'Hôpital's Rule multiple times?
If after applying L'Hôpital's Rule once, the limit is still in an indeterminate form, you can apply it again.