Difference between revisions of "009C Sample Final 2, Problem 1"

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<span class="exam">Test if the following sequences converge or diverge. Also find the limit of each convergent sequence.
 
<span class="exam">Test if the following sequences converge or diverge. Also find the limit of each convergent sequence.
  
::<span class="exam">a) <math style="vertical-align: -12px">a_n=\frac{\ln(n)}{\ln(n+1)}</math>
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<span class="exam">(a) &nbsp;<math style="vertical-align: -16px">a_n=\frac{\ln(n)}{\ln(n+1)}</math>
  
::<span class="exam">b) <math style="vertical-align: -12px">a_n=\bigg(\frac{n}{n+1}\bigg)^n</math>
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<span class="exam">(b) &nbsp;<math style="vertical-align: -15px">a_n=\bigg(\frac{n}{n+1}\bigg)^n</math>
  
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<hr>
!Foundations: &nbsp;
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[[009C Sample Final 2, Problem 1 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
 
  
'''(a)'''
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[[009C Sample Final 2, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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'''(b)'''
 
 
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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!Final Answer: &nbsp;
 
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|&nbsp;&nbsp; '''(a)'''
 
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|&nbsp;&nbsp; '''(b)'''
 
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[[009C_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009C_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 18:20, 2 December 2017

Test if the following sequences converge or diverge. Also find the limit of each convergent sequence.

(a)  

(b)  


Solution


Detailed Solution


Return to Sample Exam