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## How do i prove that $\lim_{x\rightarrow 4}⁡ (\sqrt x-2 )= 0$ with the definition? [closed]

I have no idea how to prove that $$\lim_{x\rightarrow 4}⁡ (\sqrt x-2 )= 0$$ using $\delta$ and $\varepsilon$ My attempt after the hint ( Please, I barely know what I’m doing this could all be gibberish and I wouldn’t be any wiser): $0 < (x-4) < \delta$ If $|x-4| < 1$ then $x < 5$ […]