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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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ak br > 0 for all natural numbers k and lim k→o (bk Assume ak , L for some real number LE (0, 00) and the series bk is divergent. Prove that the series ak is divergent. (You k=1 k=1 may cite/use a version of the (direct) comparison test in your proof.)
Transcribed Image Text:ak br > 0 for all natural numbers k and lim k→o (bk Assume ak , L for some real number LE (0, 00) and the series bk is divergent. Prove that the series ak is divergent. (You k=1 k=1 may cite/use a version of the (direct) comparison test in your proof.)
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