Answer:
1.  4   2. 2   3. Does not exist   4. Does not exist   5. 3
Step-by-step explanation:
1. This is the limit as x approaches 2 <u>from the left</u>.  That means that x "sneaks up" on 2, but <u>from</u> the left (ironically moving right). As  x  does that, the graph rises, heading for 4 (even though the point is "empty").  The limit is 4.  See attached image 1
2. Let  x  sneak up on 2 <u>from the right</u> (so moving left towards 2). As x does that, the graph falls, heading for the y-value 2.  The limit is 2.  See image 2.
3. This limit (two-sided) does not exist because the one-sided limits had <u>different</u> values.
4. This limit does not exist, either.  The limit as x approaches 0 from the left is 4.  The limit as x approaches 0 from the right is 0.  These are different, so the two-sided limit is not defined.
5. g(2) = 3, where the solid dot is.  It's the value of the function <u>at</u> x=2.