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Lecture 25

MATH 2B Lecture Notes - Lecture 25: Ibm System P, Direct Comparison Test, Ratio TestPremium


Department
Mathematics
Course Code
MATH 2B
Professor
ERJAEE, G.
Lecture
25

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03/05/2019
MATH 2B - Strategy for Testing Series
The main strategy for testing series is to classify them according to their form
1. P-Series

    
Example:
 





Sometimes the index “n” may not start from 1, but this won’t affect the result
 


2. Geometric Series
 
   
If
  converges,
 

Example:

 
converges
Also


3. Comparison Test
If a series has a form similar to p-series or geometric series, we can use
comparison test
Example:
 (find the leading term)
 ~


  

  


(a finite number)
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