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To test this series for convergence 6+6 6" n-1 You could use the Limit Comparison Test, comparing it to the series where r 2 Completing the test, it shows the series: ⒸDiverges O Converges X

To test this series for convergence 6+6 6" n-1 You could use the Limit Comparison Test, comparing it to the series where r 2 Completing the test, it shows the series: ⒸDiverges O Converges X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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To test this series for convergence 6+6 6" 00 n=1 You could use the Limit Comparison Test, comparing it to the series where r Completing the test, it shows the series: Diverges O Converges We want to use the Alternating Series Test to determine if the series: XD k-4 (−1)k+2_ n-1 ¹2+10 converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. sin n² ( 4 ) k X The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. We want to use the Alternating Series Test to determine if the series: COS C² (+)) converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate. The Alternating Series Test does not apply because the absolute value of the terms do not approach
Transcribed Image Text:To test this series for convergence 6+6 6" 00 n=1 You could use the Limit Comparison Test, comparing it to the series where r Completing the test, it shows the series: Diverges O Converges We want to use the Alternating Series Test to determine if the series: XD k-4 (−1)k+2_ n-1 ¹2+10 converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. sin n² ( 4 ) k X The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. The series diverges by the Alternating Series Test. O The Alternating Series Test does not apply because the terms of the series do not alternate. We want to use the Alternating Series Test to determine if the series: COS C² (+)) converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. O The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate. The Alternating Series Test does not apply because the absolute value of the terms do not approach
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