1 / 11

Sect. 9-6 Alternating Series

Sect. 9-6 Alternating Series . Alternating Series . A series whose terms are alternately positive and negative. If n starts at 1, then the first term is positive. If n starts at 1, then the first term is negative. Alternating Series Test for Convergence .

doane
Download Presentation

Sect. 9-6 Alternating Series

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Sect. 9-6 Alternating Series

  2. Alternating Series A series whose terms are alternately positive and negative If n starts at 1, then the first term is positive If n starts at 1, then the first term is negative

  3. Alternating Series Test for Convergence

  4. 1. Does converge or diverge?

  5. 2. Does converge or diverge?

  6. 3. Does converge or diverge?

  7. 4. Does converge or diverge?

  8. 5. Show that converges

  9. 6. Does converge or diverge

  10. We now have 3 tests for convergence/Divergence nthTerm Test for Divergence: If , then diverges. This test is inconclusive if Geom. Series Test: → diverges, → converges and Alternating Series Test for Convergence: converges if 1. for all n after a certain n (terms never increase in absolute value) 2.

  11. Home Work Page 639 # 11,19,23,27,31,89,91, 92,and 95 and worksheet 9-6

More Related