Question

I need help!!!!!!!!!!!!!!!!!

Answer 1

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.