Question Number 159837 by tounghoungko last updated on 21/Nov/21
$$\:\:\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\sqrt{\mathrm{2021}{x}^{\mathrm{2}} −\mathrm{6}{x}}\:+\sqrt[{\mathrm{3}}]{\mathrm{1021}{x}^{\mathrm{3}} −\mathrm{5}{x}}\:=? \\ $$
Answered by kaivan.ahmadi last updated on 24/Nov/21
$$\sim{lim}\sqrt{\mathrm{2021}}\mid{x}−\frac{−\mathrm{6}}{\mathrm{2}×\mathrm{2021}}\mid+\sqrt[{\mathrm{3}}]{\mathrm{1021}}\mid{x}\mid= \\ $$$${lim}\sqrt{\mathrm{2021}}\left(−{x}−\frac{\mathrm{3}}{\mathrm{2021}}\right)−\sqrt[{\mathrm{3}}]{\mathrm{1021}}{x}=+\infty \\ $$