Question: Prove whether or not h is continuous at x = 4.

\[h\left( x \right)=\left\{ \begin{aligned} & \frac{{{x}^{2}}-3x-4}{x-4}\,\,\,\,\,\,\,\,\,\,\,\text{if }x\ne 4 \\ & 2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text{if }x=4 \\ \end{aligned} \right.\]