posted by Millie on .
Find the limit of the following as x ->2
6-x, if x<2
2x+1, if x is greater than or equal to 2
The given is a piecewise function. Substitute 2 to the given equation to find the limit.
lim as x->2 of 6-x = 4
lim as x->2 of 2x+1 = 5
They are not equal, therefore the limit does not exist.