Answer
$\infty$
Work Step by Step
$\lim _{x\rightarrow \infty }\dfrac {x^{2}+4x+7}{x-6}=\dfrac {\dfrac {d}{dx}\left( x^{2}+4x+7\right) }{\dfrac {d}{dx}\left( x-6\right) }=\dfrac {2x+4}{1}=2x+4=\infty $
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