For the function use algebra to find each of the following limits:
$\lim\limits_{x\to 1^{+}}\, f(x) =$
$\lim\limits_{x\to 1^{-}}\, f(x) =$
$\lim\limits_{x\to 1}\, f(x) =$
(For each, enter DNE if the limit does not exist.)

Sketch a graph of $f(x)$ to confirm your answers.