Question Number 99350 by bemath last updated on 20/Jun/20
$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\frac{\mathrm{3}−\mathrm{x}}{\:\sqrt{\mathrm{9x}^{\mathrm{2}} −\mathrm{8}}\:}\:? \\ $$
Commented by bobhans last updated on 20/Jun/20
$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\frac{−\mathrm{x}\left(\mathrm{1}−\frac{\mathrm{3}}{\mathrm{x}}\right)}{−\mathrm{x}\sqrt{\mathrm{9}−\frac{\mathrm{8}}{\mathrm{x}^{\mathrm{2}} }}}\:=\:\frac{\mathrm{1}}{\mathrm{3}} \\ $$