Question

If the function of a graph is

sgn(x) =
{ -1, x<0
{0, x=0
{1, x>0

What is the limit as x approaches zero of |sgnx|?

Answer 1

I know how to take the limit of the graph when it is normal, but how do you do it if you make the graph absolute value?

Answer 2

you just have to do a right-side limit and left side limit
|sgnx| is 0 when x=0 and 1 otherwise

the graph looks like this:

there is a jump discontinuity at x=0, limit is 1

Answer 3

oh, I see. So you just get the part of the graph on the negative side of the y axis and flip it.