Question Number 172409 by cortano1 last updated on 26/Jun/22
$$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt[{\mathrm{sin}\:{x}}]{\mathrm{1}+\mathrm{2sin}\:{x}}−\sqrt[{\mathrm{tan}\:{x}}]{\mathrm{1}+\mathrm{tan}\:{x}}}{\mathrm{2}{x}^{\mathrm{3}} }=? \\ $$