Expert: Sherry Wallin - 4/5/2010

Question
http://s763.photobucket.com/albums/xx275/trinhkieu888/?action=view¤t=12_03...

Here is my limit graph

1. lim f(x) x-->3^- =3
2. lim f(x) x-->3^+ =3
3. lim f(x) x-->1^- does not exist
4. lim f(x) x-->1^+ does not exist
5. lim f(x) x-->-2^+ = -1

I have all of the answers but I don't know how do you get those results? Can you please explain it to me? Thank you for your help!

Answer
Hi Tracy~
   From the graph you can see that as x->-2 from the left that it is not defined at x = -2 (because of the open circle)and from x = -2 to x = 1 it is increasing and at x = 1 the graph does not cross (indicated by the line at x = 1). As x leaves x = 1 moving to the right the graph increases until x = 2 at which point the graph decreases to y = 3 at x = 3 and the point (3,3) is not part of the graph (because of the open circle) and from x = 3 the graph increases.

Please write more specific questions about what part of the graph you do not understand and why.

Math Prof