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Question Number 187818 by 073 last updated on 22/Feb/23

$$1.\underset{x\to 0}{\lim }\sqrt{\mathrm{x}}=?$$$$2.\underset{x\to 2}{\lim }\sqrt{\mathrm{x}-2}=?$$$$\mathrm{solution}\mathrm{please}$$

Answered by Frix last updated on 22/Feb/23

$$\underset{x\to 0^{+}}{\lim }\sqrt{x}=0$$$$\underset{x\to 0^{-}}{\lim }\sqrt{x}=\underset{x\to 0^{-}}{\lim }\mathrm{i}\sqrt{\mid x\mid }=0\mathrm{i}=0$$$$\Rightarrow$$$$\underset{x\to 0}{\lim }\sqrt{x}=0$$

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