Calculus for solving graph

Question

The graph of g(x):

note: below is the link i cannot send the picture because of characters.

http://www.mathguide.com/lessons3/Limits3.html

i need help at the part of "Evaluating Limit" part...

my question is:

how do i find the limits of the graph in... lim ->-2 g(x)? as well as prove it exist or does not exist?

Thank you so much!

Answer 1

The limit as f(x) approaches -3 from the left and right are not equal, so the limit does not exist. this is how you are to remember this.