Question Number 170159 by mathlove last updated on 17/May/22
$$\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\frac{{e}\:!{x}−\mathrm{24}}{\:\sqrt{{x}}−\mathrm{2}}=? \\ $$
Answered by Mathspace last updated on 18/May/22
$${hosital}\:\:{lim}={lim}_{{x}\rightarrow\mathrm{4}} \:\:\:\frac{{e}!}{\frac{\mathrm{1}}{\mathrm{2}\sqrt{{x}}}} \\ $$$$={lim}_{{x}\rightarrow\mathrm{4}} \:\mathrm{2}\left({e}\right)!\sqrt{{x}} \\ $$$$=\mathrm{4}\left({e}\right)! \\ $$
Commented by mathlove last updated on 18/May/22
$${no}\:{e}!\:\:\:\:{it}\:'{s}\:\:\:!{x} \\ $$