1 / 25

SUMMARY OF TESTS

SUMMARY OF TESTS. SUMMARY OF TESTS. Special Series:. Series Tests. Geometric Series Harmonic Series Telescoping Series Alter Harmonic p-series Alternating p-series. Divergence Test Integral Test Comparison Test Limit Compar Test Ratio Test Root Test Alter Series Test.

herbst
Télécharger la présentation

SUMMARY OF 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. SUMMARY OF TESTS

  2. SUMMARY OF TESTS Special Series: Series Tests • Geometric Series • Harmonic Series • Telescoping Series • Alter Harmonic • p-series • Alternating p-series • Divergence Test • Integral Test • Comparison Test • Limit Compar Test • Ratio Test • Root Test • Alter Series Test

  3. Types of questions in the exam 1) Determine whether convg or divg AC,CC 2) Find the sum s 4-types 5) Partial sums and their properties 4) How many terms are needed within error

  4. PART-1: Series with positive terms STRATEGY FOR TESTING SERIES • Divg Test • factorial: ratio test  comp+lim comp • power of n: root test • easy to integrate: integral test • similar to geometric: try comp+lim comp • Similar to p-series: try comp+lim comp PART-2: Alternating Series • Study (use PART-1) convg divg use alt.-Test AC convg divg CC PART-3: Series with some negative terms REMARK: For multiple-choice-question: before you start read the alternatives first. It guides you to which tests you need to use. • Study (use PART-1) convg divg AC

  5. Final-121

  6. Final-121

  7. Final-122

  8. Final-121

  9. Final-131

  10. Final-131

  11. Final-131

  12. Final-131

  13. Final-122

  14. Final-122

  15. Final-122

  16. Final-122

  17. Final-122

  18. Types of questions in the exam 1) Determine whether convg or divg AC,CC 2) Find the sum s 4-types 5) Partial sums and their properties 4) How many terms are needed within error

  19. 4) How many terms are needed within error PART-2: Alternating Series PART-1: Series with positive terms

More Related