Question Number 183352 by Spillover last updated on 26/Dec/22
$${For}\:{the}\:{function}\: \\ $$$${f}\left({x}\right)=\begin{cases}{\mathrm{1}−{x}^{\mathrm{2}} \:{if}\:{x}<\:\mathrm{2}}\\{\mathrm{2}{x}+\mathrm{1}\:{if}\:{x}\geqslant\mathrm{2}}\end{cases} \\ $$$${Find} \\ $$$$\left({i}\right)\underset{{x}\rightarrow^{−} \mathrm{2}} {\mathrm{lim}}{f}\left({x}\right)\:\:\:\:\:\:\:\left({ii}\right)\:\underset{{x}\rightarrow\mathrm{2}^{+} } {\mathrm{lim}}\:{f}\left({x}\right) \\ $$$$ \\ $$