Answer
$\lim\limits_{x\to 0}\dfrac{\sin^2{x}}{x}=0.$
Work Step by Step
$\lim\limits_{x\to 0}\dfrac{\sin^2{x}}{x}=\lim\limits_{x\to 0}\dfrac{\sin{x}}{x}\times\lim\limits_{x\to 0}\sin{x}=(1)(0)=0.$
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