Answer
$\lim\limits_{x\to\frac{\pi}{2}^+}\dfrac{-2}{\cos{x}}=+\infty.$
Work Step by Step
$\lim\limits_{x\to\frac{\pi}{2}^+}\dfrac{-2}{\cos{x}}=\dfrac{-2}{\cos{\frac{\pi}{2}^+}}=\dfrac{-2}{0^-}=+\infty.$
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