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

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<span class="exam">Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test.
 
<span class="exam">Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test.
  
::::<math>\sum_{n=1}^{\infty} \frac{n^3+7n}{\sqrt{1+n^{10}}}</math>
+
::<math>\sum_{n=1}^{\infty} \frac{n^3+7n}{\sqrt{1+n^{10}}}</math>
  
 
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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'''Solution:'''
 
'''Solution:'''
 
'''(a)'''
 
  
 
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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'''(b)'''
 
 
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!Step 1: &nbsp;
 
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Step 2: &nbsp;
 
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
!Final Answer: &nbsp;  
 
!Final Answer: &nbsp;  
 
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|&nbsp;&nbsp; '''(a)'''
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|&nbsp;&nbsp;
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|&nbsp;&nbsp; '''(b)'''
 
 
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Revision as of 17:53, 4 March 2017

Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=1}^{\infty} \frac{n^3+7n}{\sqrt{1+n^{10}}}}
Foundations:  


Solution:

Step 1:  
Step 2:  


Final Answer:  
  

Return to Sample Exam