What is L'Hopital's Rule?


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question 1 of 3

According to L'Hopital's rule, which of the following statements MUST be true for the equation shown below to hold?

A) f(x) and g(x) approach 0 or infinity

B) f'(C) does not equal 0

C) g'(x) does not equal 0

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1. Of the three limits shown below, which can be evaluated using L'Hopital's Rule?

2. Does L'Hopital's rule apply to this problem? Why or why not?

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About This Quiz & Worksheet

Learn more about calculus, limits and L'Hopital's Rule with these review materials. The quiz will test how well you understand when L'Hopital's Rule applies and what tricky situations it can help you solve.

Quiz & Worksheet Goals

The quiz will test you on:

  • Your understanding of the application of L'Hopital's Rule
  • The two parts of L'Hopital's Rule
  • Your ability to solve problems using L'Hopital's Rule

Skills Practiced

Practice these skills when you use the review materials:

  • Information recall - access the knowledge you've gained regarding both parts of L'Hopital's Rule
  • Problem solving - use acquired knowledge to solve L'Hopital's Rule practice problems
  • Knowledge application - use your knowledge to answer questions about limits

Additional Learning

If you want to understand L'Hopital's Rule better, review the lesson titled What is L'Hopital's Rule? That lesson will take you through the basics of L'Hopital's Rule and help you:

  • Review limits and some problems that may arise when calculating these
  • Learn how to use L'Hopital's Rule to solve complex functions
  • Define the second part of L'Hopital's Rule
  • Study the formulas used when implementing this rule