Question Number 187818 by 073 last updated on 22/Feb/23
$$\mathrm{1}.\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\sqrt{\mathrm{x}}=? \\ $$$$\mathrm{2}.\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\sqrt{\mathrm{x}−\mathrm{2}}=? \\ $$$$\mathrm{solution}\:\mathrm{please} \\ $$
Answered by Frix last updated on 22/Feb/23
$$\underset{{x}\rightarrow\mathrm{0}^{+} } {\mathrm{lim}}\:\sqrt{{x}}\:=\mathrm{0} \\ $$$$\underset{{x}\rightarrow\mathrm{0}^{−} } {\mathrm{lim}}\:\sqrt{{x}}\:=\underset{{x}\rightarrow\mathrm{0}^{−} } {\mathrm{lim}}\:\mathrm{i}\sqrt{\mid{x}\mid}\:=\mathrm{0i}=\mathrm{0} \\ $$$$\Rightarrow \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\sqrt{{x}}\:=\mathrm{0} \\ $$