1. Lecture 6: Convergence Tests and Taylor Series

2. Part I: Convergence Tests

3. Objectives Know how to decide if a series converges or not Corresponding sections in Simmons: 13.5, 13.6,13.7,13.8

4. Important examples

5. Nth term test

6. Comparison and Ratio Tests

7. Examples

8. Integral Test

9. Another example

10. Integral Test Summary

11. Series With Negative Terms

12. Conditional vs. Absolute Convergence

13. Alternating Series Test

14. Part III: Taylor Series

15. Objectives Know how to find Taylor Series Corresponding Sections in Simmons: 14.4

16. Taylor Series

17. Taylor Series continued

18. Taylor Series Examples

19. Taylor Series Validity