Question

What are lim f(x) and lim f(x) if they exist?

Answer 1

Case: Limits

Method:

Right and left-sided limits.

The right sided limits is gotten from the right-hand side and gives an f(x) of 0 while the left sided limits gives an f(x) of 1.

Final answer: Option

`\begin{gathered} \lim_(x\to0^-)f(x)=1 \\ \lim_(x\to0^+)f(x)=0 \end{gathered}`