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?

chilledz3non
Sep 20, 2014

#1**+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**+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?

Melody
Sep 21, 2014

#3**+8 **

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

Alan
Sep 21, 2014