well, what happens at each dividing point?
At x = -1, the limit is 0 on the left, and -1 on the right. No good.
Try the others; if the left and right limits are the same, lim f(x) exists.
At what points c, if any, does lim x --> c f(x) exist?
f(x) ={0, x < -1
{x, -1 ≤ x < 0
{1, x=0
{x, 0 < x ≤ 1
{0, x > 1
1 answer