List the integer value(s) of x in the open interval from -2 to 5 where the limit exists as a finite value as x approaches those integer value(s).

Question

 

Answer 1

I think I've got the picture:

The limit DNE as x approaches -2 because it does not approach a number from both sides.

The limit does exist as x approaches -1 because it does get closer and closer to a number (it is immaterial that f(-1) = 2).

The limit does exist as x approaches 0

The limit DNE as x approaches 1

The limit does exist as x approaches 2

The limit DNE as x approaches 3

The limit does exist as x approaches 4

The limit DNE as x approaches 5

So the limit exists at x = -1, 0, 2, and 4