(Solved) Prove whether or not h is continuous at x = 4. h(x)= (x^2-3x-4)/(x-4) if x≠ 4 , 2 if x=4


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

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

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