Difference between revisions of "009A Sample Final 3, Problem 4"

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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"> Discuss, without graphing, if the following function is continuous at &nbsp;<math style="vertical-align: 0px">x=0.</math>
  
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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}{|x|} &  \text{if }x < 0\\
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        0 &  \text{if }x = 0\\
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      x-\cos x & \text{if }x > 0
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    \end{array}
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  \right.
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</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">If you think &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; is not continuous at &nbsp;<math style="vertical-align: -4px">x=0,</math>&nbsp; what kind of discontinuity is it?
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<hr>
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[[009A Sample Final 3, Problem 4 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 3, Problem 4 Detailed Solution|'''<u>Detailed Solution</u>''']]
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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 16:38, 2 December 2017

Discuss, without graphing, if the following function is continuous at  

If you think    is not continuous at    what kind of discontinuity is it?

Solution


Detailed Solution


Return to Sample Exam

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