Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 + ... + 1/n + ... III. 1 - 1/3 + 1/3² + ... + (−1)n+1/3n-1 Pick ONE option O O III only O I and III I only + ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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5. Calculus- Convergence
Which of the following series are convergent?
I. 1+1/2² + 1/3² + 1/n² +
II. 1 + 1/2 + 1/3 +
III. 1 - 1/3 + 1/3² +
Pick ONE option
I only
III only
I and III
II and III
...
+ 1/n + ...
...
+ (−1)n+1/3n-1 + ...
Transcribed Image Text:5. Calculus- Convergence Which of the following series are convergent? I. 1+1/2² + 1/3² + 1/n² + II. 1 + 1/2 + 1/3 + III. 1 - 1/3 + 1/3² + Pick ONE option I only III only I and III II and III ... + 1/n + ... ... + (−1)n+1/3n-1 + ...
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