4. Contextual Applications of Differentiation

Using L’hospital’s Rule For Determining Limits Of Indeterminate Forms — Quiz

Test your understanding of using l’hospital’s rule for determining limits of indeterminate forms with 5 practice questions.

Practice Questions

Question 1

When $f(x)$ and $g(x)$ both approach $0$ as $x\to a$, the quotient $\frac{f(x)}{g(x)}$ is in which indeterminate form?

Question 2

Evaluate $\lim_{x\to 0}\frac{e^x-1}{x}$.

Question 3

Evaluate $\lim_{x\to 0}\frac{1-\cos x}{x^2}$.

Question 4

Evaluate $\lim_{x\to \infty}\frac{\ln x}{x}$.

Question 5

Which statement must be true before L'Hospital's Rule can be applied to a quotient limit?