Answer
$\lim\limits_{x\to\frac{\pi}{4}}\dfrac{4x}{\tan{x}}=\pi.$
Work Step by Step
$\lim\limits_{x\to\frac{\pi}{4}}\dfrac{4x}{\tan{x}}=\dfrac{4(\frac{\pi}{4})}{\tan{\frac{\pi}{4}}}=\pi.$
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