Difference between revisions of "009C Sample Final 2, Problem 8"

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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">Find &nbsp;<math>n</math>&nbsp; such that the Maclaurin polynomial of degree &nbsp;<math>n</math>&nbsp; of &nbsp;<math style="vertical-align: -5px">f(x)=\cos(x)</math>&nbsp; approximates &nbsp;<math style="vertical-align: -13px">\cos \bigg(\frac{\pi}{3}\bigg)</math>&nbsp; within 0.0001 of the actual value.
  
::<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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[[009C Sample Final 2, Problem 8 Solution|'''<u>Solution</u>''']]
  
::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
 
  
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[[009C Sample Final 2, Problem 8 Detailed Solution|'''<u>Detailed Solution</u>''']]
!Foundations: &nbsp;
 
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'''Solution:'''
 
  
'''(a)'''
 
 
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!Step 1: &nbsp;
 
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!Step 2: &nbsp;
 
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'''(b)'''
 
 
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!Final Answer: &nbsp;
 
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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 15:57, 3 December 2017

Find    such that the Maclaurin polynomial of degree    of    approximates    within 0.0001 of the actual value.


Solution


Detailed Solution


Return to Sample Exam