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Calculus II (Assignment Problems) / Series & Sequences / Series - Convergence/Divergence   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Assignment Problems
Parametric Equations and Polar Coordinates Previous Chapter   Next Chapter Vectors
Series - The Basics Previous Section   Next Section Series - Special Series

 Series
 Convergence/Divergence

 

For problems 1  4 compute the first 3 terms in the sequence of partial sums for the given series.

 

1.   

 

2.   

 

3.   

 

4.   

 

For problems 5  7 assume that the nth term in the sequence of partial sums for the series  is given below.  Determine if the series  is convergent or divergent. If the series is convergent determine the value of the series.

 

5.   

 

6.   

 

7.   

 

8. Let  

(a)    Does the sequence  converge or diverge?

 

(b)   Does the series  converge or diverge?

 

9.  Let  

(c)    Does the sequence  converge or diverge?

 

(d)   Does the series  converge or diverge?

 

 

For problems 10  12 show that the series is divergent.

 

10.   

 

11.   

 

12.   

 

Series - The Basics Previous Section   Next Section Series - Special Series
Parametric Equations and Polar Coordinates Previous Chapter   Next Chapter Vectors

Calculus II (Assignment Problems) / Series & Sequences / Series - Convergence/Divergence    [Notes] [Practice Problems] [Assignment Problems]

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