Answer
$=\dfrac {1}{16}$
Work Step by Step
$\lim _{x\rightarrow -4}\dfrac {g\left( x\right) }{x^{2}}=\dfrac {\lim _{x\rightarrow -4}g\left( x\right) }{x^{2}}=\dfrac {1}{\left( -4\right) ^{2}}=\dfrac {1}{16}$
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