1. Chapter 9 Section 9.2 L’Hôpital’s Rule
Sequences, L’Hopital’s Rule, and Improper Integrals
Section 9.2
L’Hôpital’s Rule

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
L’Hôpital’s Rule and its stronger form for repeated iterations
Indeterminate forms 0/0 and ∞/∞
Indeterminate forms ∞·0, and ∞-∞
Indeterminate forms 1∞, 00, ∞0
…and why
Limits can be used to describe the behavior of
functions and l’Hôpital’s Rule is an important
technique for finding limits.

7. Indeterminate Form 0/0

8. L’Hôpital’s Rule (First Form)

9. Example Indeterminate Form 0/0

10. L’Hôpital’s Rule (Stronger Form)

11. Example Using L’Hôpital’s Rule with One-Sided Limits

12. Example Working with Indeterminate Form ∞/∞

13. Example Working with Indeterminate Form ∞·0

14. Indeterminate Forms 1∞, 00,∞0

15. Example Working with Indeterminate Form 1∞

16. Example Working with Indeterminate Form 1∞

17. Example Working with Indeterminate Form 00

18. Example Working with Indeterminate Form ∞0

19. Quick Quiz for Sections 9.1 and 9.2

20. Quick Quiz for Sections 9.1 and 9.2

21. Quick Quiz for Sections 9.1 and 9.2

22. Quick Quiz for Sections 9.1 and 9.2

23. Quick Quiz for Sections 9.1 and 9.2

24. Quick Quiz for Sections 9.1 and 9.2