Difference between revisions of "009A Sample Final 3, Problem 1"

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(Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math> ::<span class="exam">b) <math st...")
 
 
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<span class="exam">Compute
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<span class="exam">Find each of the following limits if it exists. If you think the limit does not exist provide a reason.
  
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::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
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<span class="exam">(a) &nbsp;<math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin(5x)}{1-\sqrt{1-x}}</math>
  
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::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
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<span class="exam">(b) &nbsp;<math style="vertical-align: -12px">\lim_{x\rightarrow 8} f(x),</math>&nbsp; given that &nbsp;<math style="vertical-align: -14px">\lim_{x\rightarrow 8}\frac{xf(x)}{3}=-2</math>
  
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::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
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<span class="exam">(c) &nbsp;<math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{9x^6-x}}{3x^3+4x}</math>
  
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!Foundations: &nbsp;
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[[009A Sample Final 3, Problem 1 Solution|'''<u>Solution</u>''']]
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'''Solution:'''
 
  
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'''(a)'''
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[[009A Sample Final 3, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]
  
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!Final Answer: &nbsp;
 
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[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:32, 2 December 2017

Find each of the following limits if it exists. If you think the limit does not exist provide a reason.

(a)  

(b)    given that  

(c)  

Solution


Detailed Solution


Return to Sample Exam

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