Download presentation
1
Indeterminate Forms and L’Hopital’s Rule
Lesson 8.7
2
Problem There are times when we need to evaluate functions which are rational At a specific point it may evaluate to an indeterminate form
3
Example of the Problem Consider the following limit:
We end up with the indeterminate form Note why this is indeterminate
4
L’Hopital’s Rule When gives an indeterminate form (and the limit exists) It is possible to find a limit by Note: this only works when the original limit gives an indeterminate form
5
Example Consider As it stands this could be Must change to format
So we manipulate algebraically and proceed
6
This is not an indeterminate result
Example Consider Why is this not a candidate for l’Hospital’s rule? This is not an indeterminate result
7
Example Try When we apply l’Hospital’s rule we get
We must apply the rule a second time
8
Hints Manipulate the expression until you get one of the forms
Express the function as a fraction to get
9
Assignment Lesson 8.7 Page 574 Exercises 1 – 33 EOO
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.