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 from the left. That means that x "sneaks up" on 2, but from 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 from the right (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 different 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 at x=2.
