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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.

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SUMMARY OF TESTS

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  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

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  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

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