Hide StepsApply Series Comparison Test: diverges5"Can someone explain how an >= bnfor all n? I tried substituting values forun=13" – |sin(n)|n but it seems thatan < bnComparison Test:Hide DefinitionLet an, L b, be two positive sequences such that for all n,an< bnIf E b, converges, so does a,If E a, diverges, so does b,5"5"-1< sin(n)< 1, 0s |sin(n)|< 1Σ3" – |sin(n)|3" – 1Show Steps5"Check convergence of Ln=13"diverges1

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Hid Apply Series Comparison Test: diverges Can someone explain how an >= bn for all n? I tried substituting values for n but it seems that 5" un=1 3" – |sin(n)| - an < bn Comparison Test: Hide Def Let an, Lb, be two positive sequences such that for all n, An < bn If E b, converges, so does an IfΣ α, diverges, so does Σb

Hid Apply Series Comparison Test: diverges Can someone explain how an >= bn for all n? I tried substituting values for n but it seems that 5" un=1 3" – |sin(n)| - an < bn Comparison Test: Hide Def Let an, Lb, be two positive sequences such that for all n, An < bn If E b, converges, so does an IfΣ α, diverges, so does Σb

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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