Finding limit of a given function

Question

How do I find the limit, if it exists, and how do I sketch its graph:

. 2-x, x≤0

lim f(x), where f(x) = {

x→0 . x+2, x>0

Answer 1

lim_x→0- [f(x)] = lim_x→0- (2-x) = 2 - 0 = 2

lim_x→0+ [f(x)] = lim_x→0+(x+2) = 0 + 2 = 2

Since the one-sided limits are both equal to 2, lim_x→0 f(x) = 2.

Answer 2

limit = 2 as x approaches 0

graph is a V shape of 2 staright perpendicular lines

meeting at the minimum point of the V, at (0,2)

the 2 lines are at angles 45 and 135 degrees with the horizontal