Alternating Series: We’ve seen all kinds of tests now for determining whether or not an infinite series converges or diverges. What none of those tests has taken into account is what effect a flip-flopping sign on the terms has on convergence.
What you’ll learn about in the videos is the test for convergence in these Alternating (flip-flopping) Series. Then you’ll learn about the difference between Conditional Convergence (where the flip-flopping of the signs is needed to keep the sum finite) vs. Absolute Convergence (where the flip-flopping isn’t necessary because the terms get small FAST enough).
Videos:
Absolute vs. Conditional Convergence
Assigned Problems from Textbook
Note: This is a scaled-down set of homework problems as compared to the original assignment sheet.
1st Edition Section 9.6, page 677 6, 11, 13, 15, 19, 22, 27, 45, 47, 48, 49, 52, 53, 543rd Edition Section 10.6, page 688 6, 11, 13, 15, 19, 22, 27, 45, 48, 51, 54, 57, 58 |