# Limit Comparison Test (LCT):c=Case 1: cSOCase 2: cSOCase 3: cSOAlternating Series Test (AST):The series-1)bn converges if:For convergent alternating series, we know that s-,Absolute Convergence:The seriesan is absolutely convergent ifConditional Convergence:The seriesan is conditionally comvergent ifRatio/Root Test:Ratio: LRoot: L=The seriesan converges if:The seriesan diverges if:Test inconclusive if:For each of the following series, argue convergence or divergence using the indicated test.1. 5Cos(n) (Comparison Test)(1)(Alternating Series Test)n!2.2n!(Ratio Test)1003.VI

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For each of the following, fill in the blanks to complete the description of the test.

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Limit Comparison test-

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Alternating series test-

1)The ...

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