Question

Graph of a piecewised function is f(x)=1, x>0 and f(x)=-1, x<0

What is the lim f(x)=? x-->-3

I did the following:

My f(x)=1, x>0 graph started from the point (0,1) and extended right infinitely. My (x)=-1, x<0 graph extended from the point (0,-1)infinitely toward the left in a straight line. {{{is this wrong so far???}}}

Then I reasoned that since the lines are not coming near each other at all around x-->-3 the limit is undefined.

I know the correct answer is lim f(x)=-1 as x-->-3 but how do I get that???