Applying L'Hopital's Rule in Complex Cases


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question 1 of 3

Find the following limit:

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1. Find the following limit:

2. Find the following limit:

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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