Question 1161387
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \text{Dom }f(x)\ =\ \{x\,\in\,\mathbb{R}\,|\,x\,\neq\,\pm4\}]


A function is continuous at a point *[tex \Large x\ =\ a] if and only if *[tex \Large \lim_{x\right\a}\,f(x)\ =\ f(a)].


So evaluate *[tex \Large \lim_{x\right\4}\,\frac{x^2\,-\,3x\,-\,4}{x^2\,-\,16}]


and evaluate *[tex \Large f(4)].


If they are the same, the function is continuous.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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