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Question Number 210918 by VICHET last updated on 22/Aug/24

Answered by Frix last updated on 22/Aug/24

$$\mathrm{Let}x=t+11$$$$\underset{t\to 0^{-}}{\lim }\frac{\mid x\mid }{x}=\underset{t\to 0^{-}}{\lim }\frac{-x}{x}=-1$$$$\underset{t\to 0^{+}}{\lim }\frac{\mid x\mid }{x}=\underset{t\to 0^{+}}{\lim }\frac{x}{x}=1$$$$\Rightarrow \mathrm{Limit}\mathrm{does}\mathrm{not}\mathrm{exist}$$

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