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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 4-types 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 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

5 Final-121

6 Final-121

7 Final-122

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9 Final-131

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12 Final-131

13 Final-122

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21 4-types 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

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

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