Use the following piece-wise function g(x) to evaluate the following. For problems 9- 11, show that the limit exists (or does not exist) using Right-Handed and Left- Handed Limits when appropriate. -6 -5 -4 -3 /-2 -1 -3 7) lim g(x) x+4 8) lim g(x) x--4 9) lim g(x) x+2+ 10) At x = 4, what kind of discontinuity (if any) does g(x) have? Justify your answer by stating all conditions of continuity g fails at x = 4. Does lim g(x) exist? If so, show what it equals using RHL and LHL