Limit Comparison Test (LCT): c= Case 1: c SO Case 2: c SO Case 3: c SO Alternating Series Test (AST): The series -1)bn converges if: For convergent alternating series, we know that s-, Absolute Convergence: The seriesan is absolutely convergent if Conditional Convergence: The seriesan is conditionally comvergent if Ratio/Root Test: Ratio: L Root: 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. 2 n! (Ratio Test) 100 3. VI

Limit Comparison Test (LCT): c= Case 1: c SO Case 2: c SO Case 3: c SO Alternating Series Test (AST): The series -1)bn converges if: For convergent alternating series, we know that s-, Absolute Convergence: The seriesan is absolutely convergent if Conditional Convergence: The seriesan is conditionally comvergent if Ratio/Root Test: Ratio: L Root: 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. 2 n! (Ratio Test) 100 3. VI

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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