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

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(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math> ::<span class="exam">b) <mat...")
 
 
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<span class="exam">Compute
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<span class="exam"> For each of the following series, find the sum if it converges. If it diverges, explain why.
  
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::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
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<span class="exam">(a) &nbsp;<math style="vertical-align: -14px">4-2+1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\cdots</math>
  
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::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
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<span class="exam">(b) &nbsp;<math>\sum_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}</math>
  
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!Foundations: &nbsp;
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[[009C Sample Final 2, Problem 2 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
 
  
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'''(a)'''
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[[009C Sample Final 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Final Answer: &nbsp;
 
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|&nbsp;&nbsp; '''(a)'''
 
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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 18:22, 2 December 2017

For each of the following series, find the sum if it converges. If it diverges, explain why.

(a)  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 4-2+1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\cdots}

(b)  

Solution


Detailed Solution


Return to Sample Exam

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