Question Number 183353 by Spillover last updated on 25/Dec/22
$${For}\:{the}\:{function} \\ $$ $${f}\left({x}\right)=\begin{cases}{{x}^{\mathrm{2}} −\mathrm{3}\:{if}\:{x}<\mathrm{4}}\\{\frac{{x}^{\mathrm{2}} }{{x}+\mathrm{4}}\:\:\:\:\:{if}\:{x}\geqslant\mathrm{4}}\end{cases} \\ $$ $$\left.{Find}\:\left({i}\right)\:\underset{{x}\rightarrow−\mathrm{4}} {\mathrm{lim}}\:{f}\left({x}\right)\:\:\:\:\:\:{ii}\right)\underset{{x}\rightarrow+\mathrm{4}} {\mathrm{lim}}\:{f}\left({x}\right) \\ $$
Answered by TheSupreme last updated on 25/Dec/22
$$\left.{i}\right)\:{lim}={f}\left(−\mathrm{4}\right)=\mathrm{13} \\ $$ $$\left.{ii}\right)\:{lim}\rightarrow\mathrm{4}^{−} =\mathrm{13} \\ $$ $$\:\:{lim}\:\rightarrow\:\mathrm{4}^{+} \:=\:\mathrm{2} \\ $$ $$ \\ $$