Question Number 197483 by cortano12 last updated on 19/Sep/23
$$\:\:\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\:\sqrt{\mathrm{1}−\mathrm{x}}}\:=? \\ $$
Answered by Frix last updated on 19/Sep/23
$$=\frac{−\frac{\pi}{\mathrm{2}}}{\:\sqrt{\mathrm{1}+\infty}}=\mathrm{0} \\ $$