Copyright

Applying L'Hopital's Rule in Complex Cases

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Find the following limit:

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. Find the following limit:

2. Find the following limit:

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Test your ability to apply L'Hôpital's Rule and assess your understanding of this mathematical construct as you determine the limits in complex mathematical cases. The quiz consists of a series of practice problems, all of which are multiple-choice.

Quiz & Worksheet Goals

In this assessment, you'll be tested over your ability to:

  • Understand the concept of limits
  • Apply L'Hôpital's Rule to complex trigonometric functions and polynomial problems
  • Reapply L'Hôpital's Rule using alternative derivatives when first or subsequent applications do not determine a limit

Skills Practiced

  • Making connections - understand the mathematical concept of the 'limit'
  • Problem solving - use acquired knowledge to solve limit practice problems
  • Defining key concepts - accurately define L'Hôpital's Rule and how it applies to derivatives

Additional Learning

Get more information by reviewing the accompanying lesson titled Applying L'Hôpital's Rule in Complex Cases. This lesson covers the following topics:

  • The formula related to L'Hôpital's Rule
  • When to reapply the rule
  • Dealing with results of 0/0 or infinity/infinity
Support