Question

Can some one explain me the concept of two sided limit

Answer 1

two sided limit means the limit approachs some specific value either at the right or at the left. lim F(x)as x

Answer 2

Here's a simple example: let\[f(x)=\begin{cases}
-1 & \text{ if } x\leq0 \\
1 & \text{ if } x>0
\end{cases}.\]
Then,\[\lim_{x\to0^+}f(x)=1,\]and\[\lim_{x\to0^-}f(x)=-1.\]