1. 9.4
Radius of Convergence

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
Convergence
nth-Term Test
Comparing Nonnegative Series
Ratio Test
Endpoint Convergence
… and why
It is important to develop a strategy for finding the
interval of convergence of a power series and to obtain
some tests that can be used to determine convergence of
a series.

7. The Convergence Theorem for Power Series

8. The nth-Term Test for Divergence

9. The Direct Comparison Test

10. Example Proving Convergence by Comparison

11. Absolute Convergence

12. Absolute Convergence Implies Convergence

13. Example Using Absolute Convergence

14. The Ratio Test

15. Example Finding the Radius of Convergence

16. Example Determining Convergence of a Series

17. Pg. 386, 7.1 #1-25 odd