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SparkNotes Math Study Guides Series Problems
 
Introduction and Summary
 
 
Terms
 
 
Convergence of Series
 
 
Problems
 
 
The Comparison Test
 
 
Problems
 
 
Geometric Series and the Ratio Test
 
 
Problems
 
 
The Integral Test
 
 
Problems
 
 
Series With Positive and Negative Terms
 
 
Problems
 
 
Power Series
 
 
Problems
 
 
 
 
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Series

 
 

Problems

 
Problem 1.1: Does the series 1 + (- 1) + 1 + (- 1) + ... converge?
Solution for Problem 1.1
 
Problem 1.2: Show that 1/n2 converges by grouping terms 2 and 3, 4 through 7, 8 through 15, and so on using the fact that 1/2n converges.
Solution for Problem 1.2
 
 
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The Comparison Test
 
 
 
 
 
 
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