1 / 11

Miss Battaglia AP Calculus

9-5 Alternating Series Test Objective: Use the Alternating Series Test to determine whether an infinite series converges and to approximate the sum of an alternating series. Miss Battaglia AP Calculus. Don’t be confused by…. To show convergence…. b n ’s are eventually decreasing Ex: .

luke
Download Presentation

Miss Battaglia AP Calculus

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. 9-5 Alternating Series TestObjective: Use the Alternating Series Test to determine whether an infinite series converges and to approximate the sum of an alternating series. Miss Battaglia AP Calculus

  2. Don’t be confused by…

  3. To show convergence… • bn’s are eventually decreasing • Ex:

  4. Converges or diverges?

  5. Converges or diverges?

  6. Alternating Series Remainder If is a convergent alternating series, then (Error is at most the size of the 1st neglected term)

  7. Approximate the sum correct to 4 decimal places.

  8. How many terms of: do you need to sum in order to be sure your approximation is correct to within 2 decimal places?

  9. Approximate the sum correct to within two decimal places

  10. Try On Your Own… Converges or diverges? Approximate the sum correct to within 3 decimal places

More Related