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This is a question on a quiz I took a week ago. The same question is on my study guide T-T

I originally said: "When x approaches 1 the value does not exist. However, it exists when x approaches 2" 

 

My professor said that the answer was incomplete? Why is that, and how can I complete my statement?

 Sep 20, 2014

Best Answer 

 #1
avatar+28125 
+13

You should probably think about the limit as x approaches a from above (i.e. the right) and from below (the left).

 Sep 21, 2014
 #1
avatar+28125 
+13
Best Answer

You should probably think about the limit as x approaches a from above (i.e. the right) and from below (the left).

Alan Sep 21, 2014
 #2
avatar+102763 
+8

Alan,  could you comment on my answer please?

The limit as x approaches 1 from above exists   It is 1 I think

The limit as x approaches 1 from below exists   It is p(x) I think

I don't think that the limit as x approaches 2 exists at all.

Is this right?   

 Sep 21, 2014
 #3
avatar+28125 
+8

Good explanation of limits here: http://www.mathsisfun.com/calculus/limits.html 

 Sep 21, 2014
 #4
avatar+102763 
+8

Now you are giving me homework?  A l r i g H t .  

Thanks Alan, I really should look at that!  You are right   

 Sep 21, 2014
 #5
avatar+564 
+8

I'm still kind of lost with this question :/

 Sep 22, 2014

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