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SparkNotes Math Study Guides Series Problems
 
Introduction and Summary
 
 
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Convergence of Series
 
 
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The Comparison Test
 
 
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Geometric Series and the Ratio Test
 
 
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The Integral Test
 
 
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Series With Positive and Negative Terms
 
 
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Power Series
 
 
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Problem 5.1: Give an example of a series that converges but does not converge absolutely.
Solution for Problem 5.1
 
Problem 5.2: Prove that (- 1)ne-n2 converges.
Solution for Problem 5.2
 
Problem 5.3: Determine whether or not

(- 1)n    

converges.
Solution for Problem 5.3
 
 
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