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3. Assume a, b > 0 for all natural numbers k and lim () Ak = L for some real number 00 LE (0, 00) and the series b is divergent. Prove that the series ak is divergent. (You k=1 may cite/use a version of the (direct) comparison test in your proof.) k=1

3. Assume a, b > 0 for all natural numbers k and lim () Ak = L for some real number 00 LE (0, 00) and the series b is divergent. Prove that the series ak is divergent. (You k=1 may cite/use a version of the (direct) comparison test in your proof.) k=1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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ak 3. Assume ag, bg > 0 for all natural numbers k and = L for some real number LE (0, 00) and the series be is divergent. Prove that the series ak is divergent. (You 大3D1 k=1 may cite/use a version of the (direct) comparison test in your proof.)
Transcribed Image Text:ak 3. Assume ag, bg > 0 for all natural numbers k and = L for some real number LE (0, 00) and the series be is divergent. Prove that the series ak is divergent. (You 大3D1 k=1 may cite/use a version of the (direct) comparison test in your proof.)
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