Difference between revisions of "009C Sample Final 3, Problem 2"

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<span class="exam"> Consider the series
 
<span class="exam"> Consider the series
  
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::::<math>\sum_{n=2}^\infty \frac{(-1)^n}{\sqrt{n}}.</math>
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::<math>\sum_{n=2}^\infty \frac{(-1)^n}{\sqrt{n}}.</math>
  
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::<span class="exam">a) Test if the series converges absolutely. Give reasons for your answer.
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<span class="exam">(a) Test if the series converges absolutely. Give reasons for your answer.
  
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::<span class="exam">b) Test if the series converges conditionally. Give reasons for your answer.
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<span class="exam">(b) Test if the series converges conditionally. Give reasons for your answer.
  
 
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'''Solution:'''
 
'''Solution:'''
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Revision as of 17:53, 4 March 2017

Consider the series

(a) Test if the series converges absolutely. Give reasons for your answer.

(b) Test if the series converges conditionally. Give reasons for your answer.

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  


Final Answer:  
   (a)
   (b)

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