Answer
$\lim\limits_{x\to2^-}\dfrac{x^2}{x^2+4}=\dfrac{1}{2}.$
Work Step by Step
$\lim\limits_{x\to2^-}\dfrac{x^2}{x^2+4}=\dfrac{(2^-)^2}{(2^-)^2+4}=\dfrac{4}{4+4}=\dfrac{1}{2}.$
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