Question

lim x > -3 h(x)
I was wondering if the answer is 4 or if it does not exist because it's a sharp corner/curve?

Answer 1

the limit is still 4 because function is continuous and approaches 4 from both sides

the sharp corner means that the derivative or slope does not exist at that point (x=-3)

Answer 2

dumbcow is right....if you trace the direction of the graph with your fingers from the left side of the graph and the right side, youll see that both sides approach y=4 when x approaches -3