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Question Number 21223 by moadakennaf last updated on 16/Sep/17

$$\underset{x\to \pi /2}{\lim }(\pi -2x)\tan \left(x\right)$$

Answered by dioph last updated on 16/Sep/17

$$=\underset{x\to \pi /2}{\lim }\frac{\pi -2x}{\cot x}=$$$$=\underset{x\to \pi /2}{\lim }\frac{-2}{-{\mathrm{cosec}}^{2}x}=$$$$=\underset{x\to \pi /2}{\lim }2{\sin }^{2}x=$$$$=2$$

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