1. Prove that the series 1 n ln n n=2 diverges. (Hint: bound the partial sums of the series below by a sequence of integrals.)
1. Prove that the series 1 n ln n n=2 diverges. (Hint: bound the partial sums of the series below by a sequence of integrals.)
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 33E
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![1. Prove that the series
1
n ln n
n=2
diverges. (Hint: bound the partial sums of the series below by a sequence of
integrals.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69cce4ac-4bf6-4e6b-8636-bf160e045b58%2F98364809-cf4d-4aa6-a53f-f92ae5f0b35d%2Fup8j3q5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Prove that the series
1
n ln n
n=2
diverges. (Hint: bound the partial sums of the series below by a sequence of
integrals.)
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