Series Part 2 - Tests for Convergence

The last unit is on Convergence Tests.  There are several - all with their own plusses and minuses.  The challenge is to choose the correct test in each situation.  Homework listed in blue needs updating.

3/19  Recap of Infinite Sequences and Series, n^th term, Integral Test

         HW p.511/29, 30, 34, 38  and  p.523/1-5, 7, 8, 10-14,17, 19, 21

3/21  Limit and Direct Comparison Test

         HW p.511-512/3, 4, 49, 51, 53  and  p.523-524/9, 15, 16, 22, 59  

               also try some of the previous problems using these tests

3/24  Ratio Test and the Radius of Convergence         

         HW p.511/9-27 by 3's, 31-47 odd

3/25  Alternating Series, Liebniz Error Bound
         HW p.523-524/27-32, 55, 56, 58, 63-65

3/26  Absolute and Conditional Convergence

         HW p.523-524/23-26, 35-47 odd, 54, 61, 66-71

3/28  Fourier Series, Review and 2 AP Problems  (End of Term 3)

         HW p.526-529/1-16, 41-51 odd (evens are optional but helpful)

3/31  Five more AP Problems

4/01  Test of Series Convergence (9b)