Question Number 127553 by mathocean1 last updated on 30/Dec/20
$${f}\left({x}\right)=\sqrt{\frac{{x}^{\mathrm{3}} }{{x}−\mathrm{1}}} \\ $$$${calculate}: \\ $$$$\underset{{x}\rightarrow\mathrm{0}^{−} } {{lim}f}\left({x}\right)\:;\:\underset{{x}\rightarrow\mathrm{0}^{+} } {{lim}f}\left({x}\right);\:\underset{{x}\rightarrow\mathrm{1}^{−} } {{lim}f}\left({x}\right); \\ $$$$\underset{{x}\rightarrow\mathrm{1}^{+} } {{lim}f}\left({x}\right);\:\underset{{x}\rightarrow+\infty} {{lim}f}\left({x}\right);\underset{{x}\rightarrow−\infty} {{lim}f}\left({x}\right) \\ $$$${please}\:{sirs}\:{detail}\:{if}\:{possible} \\ $$