Question Number 167982 by mathlove last updated on 31/Mar/22

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\sqrt{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{1}}+\mathrm{3}{x}}{\:\sqrt{{x}^{\mathrm{2}} +{x}−\mathrm{5}}+{x}}=? \\ $$
Commented by greogoury55 last updated on 31/Mar/22

$$=\:\frac{\mathrm{5}}{\mathrm{2}} \\ $$
Commented by mathlove last updated on 31/Mar/22

$${how}??? \\ $$
Commented by mathlove last updated on 31/Mar/22

$${how}\:{sir} \\ $$