1 / 8

Ratio and Root Tests

Ratio and Root Tests. Thm . Ratio Test Let Ʃ a n be a series with nonzero terms. If , the series is abs. convergent. If , the series is divergent. If , then the test fails. Ex. Ex. Thm . Root Test Let Ʃ a n be a series.

barth
Télécharger la présentation

Ratio and Root Tests

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. Ratio and Root Tests • Thm.Ratio Test • Let Ʃan be a series with nonzero terms. • If , the series is abs. convergent. • If , the series is divergent. • If , then the test fails.

  2. Ex.

  3. Ex.

  4. Thm.Root Test • Let Ʃan be a series. • If , the series is abs. conv. • If , the series is divergent. • If , then the test fails.

  5. Ex.

  6. Ex.

  7. p. 781: 2, 3, 6, 13, 23, 27

  8. p. 784: 1, 3, 4, 5, 6, 8, 10, 12, 21, 26

More Related