Answer
$\lim\limits_{x\to0^+}\dfrac{\csc{2x}}{x}=+\infty.$
Work Step by Step
$\lim\limits_{x\to0^+}\dfrac{\csc{2x}}{x}=\lim\limits_{x\to0^+}\dfrac{1}{x\sin{2x}}=\dfrac{1}{(0^+)(\sin{[2(0^+)])}}=+\infty.$
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