### 1 video in "Limits"

## Indeterminate Forms and L'Hopital's Rule

Indeterminate Forms and L'Hopital's Rule

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Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.

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Indeterminate forms 0/0, infinity/infinity, 0, infinity, 1^infinity, 0^0, infinity^0, and infinity - infinity. L'Hopital's Rule.

- What are indeterminate forms?
- What is L'Hopital's Rule?
- How do you use L'Hopital's Rule?
- When is a limit indeterminate?
- What is the limit as x approaches 0 of xlnx?
- What are the limit properties of lnx and e^x?
- What are exponential forms?
- How do you find the limit of x^1/x as x goes to infinity?
- What is the limit of x^x as x goes to 0?

This video is crucial to taking many limits in Calculus. Indeterminate forms are introduced and discussed. The forms are 0/0, infinity / infinity, and 0*infinity. L’Hopital’s rule is the method used to calculate the limit of these indeterminate forms. The limit properties of lnx and e^x are also shown. Exponential forms 1^infinity, 0^0, and infinity^0 are explained as well. Finally, the form infinity - infinity is discussed.