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

What does it mean for a limit to be an indeterminate form such as $\frac{0}{0}$ when using L’Hospital’s Rule?

Question 2

Which limit can be evaluated using L’Hospital’s Rule because it has the indeterminate form $\frac{0}{0}$?

Question 3

Using L’Hospital’s Rule, what is $\lim_{x\to 0}\frac{e^x-1}{x}$?

Question 4

What is $\lim_{x\to 0}\frac{1-\cos x}{x^2}$?

Question 5

Why is L’Hospital’s Rule not the best first step for every limit involving a quotient?