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

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   \right.
 
   \right.
 
</math>
 
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<span class="exam"> For what values of <math>x</math> is <math>f</math> continuous?
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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?
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 13:43, 6 March 2017

Let

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 f(x) = \left\{ \begin{array}{lr} \frac{x^2-2x-3}{x-3} & \text{if }x \ne 3\\ 5 & \text{if }x = 3 \end{array} \right. }

For what values of  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}   is  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 f}   continuous?

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

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