(-1)" /n n +1 n=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
Determine if the seriesconverges absolutely, conditionally, or diverges.
Expert Solution
Step 1
Given series is
Let
Since, the sequence is monotonically decreasing and
So, by Leibnitz test is convergent .
Step 2
Now, consider
take
Then,
(finite)
So, by comparison test converges or diverges together .
Since the series diverges by P test for series . So, the series also diverges .
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