Style of Arguments

In this chapter, we will be learning techniques for determining if an infinite series is convergent or divergent. In using these techniques you have to lay out an argument in support of your conclusion whether it is for convergence or divergence. The following document outline what I feel is the bare minimum that needs to be included in your argument for each technique.

Guide to Series Convergence/Divergence Arguments

Sections:

8.8 II: Convergence / Divergence of Improper Integrals

HW: 51 , 53 , 55 , 57 , 59 , 61 , 65 , 67 , 73 , 81 , 82 , 85

Board Problems: 51, 53 , 57 , 59

Group Work:  65 , 67 , 82

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10.1: Sequences

HW: 4 , 11 , 13 , 15 , 21 , 23 , 31 , 35 , 41 , 43 , 45 , 47 , 57 , 59 , 63 , 65 , 67 , 71 , 73 , 83 , 109 , 116 , 123

Board Problems: 4 , 11 , 13 , 15 , 31 , 35 

Group Work: 67 , 71 , 73 , 83 , 109

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10.2: Infinite Series

HW: 7 , 11 , 19 , 21 , 23 , 26 , 27 , 31 , 35 , 39 , 41 , 43 , 45 , 53 , 63 , 65 , 67 , 77 , 79 , 103 , 104

Board Problems: 7 , 19 , 21 , 23 , 31 , 39

Group Work: 77 , 103 , 104

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10.3: Integral Test

HW: 1 , 5 , 7 , 9 , 13 , 17 , 29 , 31 , 33 , 37 , 41 , 55 , 56 , 57 , 58 , 59 , 63 

Board Problems: 1 , 7 , 13 , 17 . 31 , 43  

Group Work: 33 , 37 , 59 , 63

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10.4: Comparison Tests

HW: 1 , 9 , 17 , 19 , 23 , 25 , 27 , 35 , 37 , 39 , 49 , 53 , 58 , 60

Board Problems: 1 , 9 , 19 , 25 , 27 , 37

Group Work: 35 , 49 , 53 , 60

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10.5: Absolute Convergence: Ratio & Root Test

HW: 1 , 3 , 9 , 11 , 15 , 17 , 19 , 23 , 25 , 31 , 35 , 37 , 41 , 47, 49 , 55 , 67 , 69 

Board Problems: 1 , 3 , 9 , 11 , 17 , 19 

Group Work: 37 , 49 , 55 , 69

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10.6: Alternating Series and Conditional Convergence

HW: 1 , 3 , 7 , 11 , 15 , 23 , 27 , 29 , 33 , 41 , 47 , 49 , 50 , 51 , 53 , 54 , 55 , 57 , 59 , 63 , 71 , 92

Board Problems: 1 , 3 , 7 , 11 , 27 , 33 

Group Work: 29 , 59 , 71 , 92

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10.7: Power Series

HW: 3 , 5 , 7 , 11 , 13 , 15 , 17 , 23 , 29 , 31 , 37 , 39 , 41 , 55 , 57 , 61 

Board Problems: 3 , 5 , 7 , 11 , 13 , 17

Group Work: 15 , 57 , 61 

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