1 In n n=2 (1+ Vln n VInn

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Examine the convergence of the series according to the Logarithmic test.

1
Σ
n=2 (1+ VInn
In n
Transcribed Image Text:1 Σ n=2 (1+ VInn In n
Expert Solution
Step 1

The objective is to examine the convergence of the series n=211+ln nln n

Let, an=11+ln nln n then an+1=11+ln n+1ln n+1

Now,

anan+1=1+ln n+1ln n+11+ln nln n

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