Answer
$\lim\limits_{x \to 2^+}\frac{x^2-2x-8}{x^2-5x+6}=\infty$
Work Step by Step
$\lim\limits_{x \to 2^+}\frac{x^2-2x-8}{x^2-5x+6}=\lim\limits_{x \to 2^+}\frac{x^2-2x-8}{(x-2)(x-3)}=\frac{(-8)^+}{0^+\times(-1^+)}=\frac{(-8)^+}{0^-}=\infty$
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