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SUMMARY OF TESTS.

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Presentation on theme: "SUMMARY OF TESTS."— 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 STRATEGY FOR TESTING SERIES
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 PART-1: Series with positive terms 141 121
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 151 122 Divg Test Integral Tst Compar Tst LimComp Ratio Tst Root Tst AltSer Tst

5 PART-1: Series with positive terms 151 121
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

16

17 3-types 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

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