1. Testing Convergence at Endpoints
Chapter 10
Infinite Series
Section 10.5
Testing Convergence
at Endpoints

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
The Integral Test
Harmonic series and p-series
The Limit Comparison Test
The Alternating Series Test and
Leibniz’s Theorem
The strange implication of conditional convergence
Finding intervals of convergence
Why convergence of a series for f does not imply convergence to f
… and why
Additional tests for convergence of series are introduced
in this section.

7. The Integral Test

8. Example Applying the Integral Test

9. Harmonic Series p-series

10. The Limit Comparison Test (LCT)

11. Example Using the Limit Comparison Test

12. The Alternating Series Test (Leibniz’s Theorem)

13. The Alternating Series Estimation Theorem

14. Rearrangement of Absolutely Convergent Series

15. Rearrangement of Conditionally Convergent Series

16. How to Test a Power Series for Convergence

17. Example Finding Intervals of Convergence

19. Quick Quiz Sections 10.4 and 10.5

20. Quick Quiz Sections 10.4 and 10.5

21. Quick Quiz Sections 10.4 and 10.5

22. Quick Quiz Sections 10.4 and 10.5

23. Quick Quiz Sections 10.4 and 10.5

24. Quick Quiz Sections 10.4 and 10.5

25. Chapter Test

26. Chapter Test

27. Chapter Test

28. Chapter Test

29. Chapter Test Solutions

30. Chapter Test Solutions

31. Chapter Test Solutions

32. Chapter Test Solutions