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

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

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

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

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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

Extra Problems

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