b Given the piecewise function:

$h(x)=\{\begin{array}{ccc}\frac{x^2-1}{x-1}& if& x1\\ 3& if& x=1\end{array}$Find:

$($i$)\underset{x1}{lim}h(x)$

$($ii$)$ Is $h$ continuous at $x=1?$ Why or why not?

$($iii$)$ What value of $h(1)$ would make $h$ continuous at $x=1?$