4. For all n > 1, and the series 2E, diverges, so by the Comparison Test, n In(n) п п the series > diverges. n In(n) In(n) 5. For all n > 2, n2 and the seriesE converges, so by the Comparison Test, n2 п2 In(n) converges. n2 the series > 6. For all n> 1, and the series converges, so by the Comparison Test, n² 3-n3 n2 the series > п converges. 3—п3
4. For all n > 1, and the series 2E, diverges, so by the Comparison Test, n In(n) п п the series > diverges. n In(n) In(n) 5. For all n > 2, n2 and the seriesE converges, so by the Comparison Test, n2 п2 In(n) converges. n2 the series > 6. For all n> 1, and the series converges, so by the Comparison Test, n² 3-n3 n2 the series > п converges. 3—п3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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