Difference between revisions of "009A Sample Midterm 1, Problem 2"

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<span class="exam">Consider the following function <math> f:</math>
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::::::<math>f(x) = \left\{
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    \begin{array}{lr}
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      x^2 &  \text{if }x < 1\\
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      \sqrt{x} & \text{if }x \geq 1
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    \end{array}
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  \right.
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</math>
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::<span class="exam">a) Find <math> \lim_{x\rightarrow 1^-} f(x).</math>
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::<span class="exam">b) Find <math> \lim_{x\rightarrow 1^+} f(x).</math>
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::<span class="exam">c) Find <math> \lim_{x\rightarrow 1} f(x).</math>
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::<span class="exam">d) Is <math>f</math> continuous at <math>x=1?</math> Briefly explain.
  
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'''(c)'''
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'''(d)'''
 
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[[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]

Revision as of 09:57, 5 February 2017

Consider the following function

a) Find
b) Find
c) Find
d) Is continuous at 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 x=1?} Briefly explain.


Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  

(d)

Step 1:  
Step 2:  
Final Answer:  
(a)
(b)
(c)
(d)

Return to Sample Exam

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