See the graph below.
Work Step by Step
See the graph and table above in which we evaluate $f(x)$ when x is close to 0, on either side of zero. This gives an approximation of the one-sided limits. The function can not be extended to a continuous function, as the left-sided limit at x=0 $(-1)$ does not equal the right-sided limit at x=0 $(1)$. If we set $f(0)=1$ , f will be continuous from the right. If we set $f(0)=-1$ , f will be continuous from the left.