SUMMARY OF TESTS

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. 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

4. 121 141 PART-1: Series with positive terms • 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 122 151 Divg Test Integral Tst Compar Tst LimComp Ratio Tst Root Tst AltSer Tst

5. 151 121 PART-1: Series with positive terms • 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 141 122 Divg Test Integral Tst Compar Tst LimComp Ratio Tst Root Tst AltSer Tst

6. Final-122

7. Final-121

8. Final-131

9. Final-131

10. Final-122

11. Final-131

12. Final-131

13. Final-121

14. Final-122

15. Final-122

17. Types of questions in the exam 1) Determine whether convg or divg AC,CC 2) Find the sum s 3-types 5) Partial sums and their properties

18. Extra Problems

19. Final-121

20. Final-122