Answer
$-\infty$
Work Step by Step
$$\lim\limits_{x \to 4^+} \frac{3-x}{x^2 -2x - 8} = \lim\limits_{x \to 4^+} (3-x) \cdot \lim\limits_{x \to 4^+} \frac{1}{x^2 -2x - 8} = -1 \cdot \infty = -\infty $$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.