Question Number 156590 by naka3546 last updated on 12/Oct/21
Answered by puissant last updated on 13/Oct/21
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:{f}\left({x}\right)=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{{x}^{\mathrm{2}} +{x}−\mathrm{1}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}=\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{2}} }=\mathrm{1} \\ $$$${one}\:{horizontal}\:{asymptote}.. \\ $$
Commented by naka3546 last updated on 13/Oct/21
$${thank}\:\:{you},\:{sir}. \\ $$