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Question Number 176394 by Matica last updated on 18/Sep/22

$$\underset{x\to 0}{\lim }\frac{{(1-cos\sqrt{\mid x\mid })}^2}{1-\sqrt{cosx}}=?$$

Commented by cortano1 last updated on 18/Sep/22

$$\underset{x\to 0^{-}}{\lim }\frac{{(1-\cos \sqrt{\mid \mathrm{x}\mid })}^2}{1-\sqrt{\cos \mathrm{x}}}\left(\mathrm{DNE}\right)$$$$\underset{x\to 0^{+}}{\lim }\frac{{(1-\cos \sqrt{\mid \mathrm{x}\mid })}^2}{1-\sqrt{\cos \mathrm{x}}}=4$$$$\underset{x\to 0}{\lim }\frac{{(1-\cos \sqrt{\mid \mathrm{x}\mid })}^2}{1-\sqrt{\cos \mathrm{x}}}\left(\mathrm{DNE}\right)$$

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