Σ-νH n+1 n + 2 n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 12E
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Determine the convergence or divergence of the series. Give Reasons for your answer.

Σ-νH
n+1
n + 2
n=1
Transcribed Image Text:Σ-νH n+1 n + 2 n=1
Expert Solution
Alternating series test states that

Calculus homework question answer, step 1, image 1

We have,

Calculus homework question answer, step 2, image 1

an> 0 

As for n =0 a0=1/2  and  n =1 a1=2/3  and  a0>a0

Thus, an is increasing.

Also, 

Calculus homework question answer, step 2, image 2

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