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

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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"> Let
  
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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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::<math>f(x) = \left\{
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    \begin{array}{lr}
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      \frac{x^2-2x-3}{x-3} &  \text{if }x \ne 3\\
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      5 & \text{if }x = 3
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    \end{array}
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  \right.
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</math>
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<span class="exam"> For what values of &nbsp;<math style="vertical-align: 0px">x</math>&nbsp; is &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; continuous?
  
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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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<hr>
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[[009A Sample Final 2, Problem 2 Solution|'''<u>Solution</u>''']]
  
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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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[[009A Sample Final 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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[[009A_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 10:08, 1 December 2017

Let

For what values of    is    continuous?

Solution


Detailed Solution


Return to Sample Exam

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