Question Number 85021 by M±th+et£s last updated on 18/Mar/20
$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{tan}^{\mathrm{4}} \left({x}\right)\:{cot}\left({ln}^{\mathrm{3}} \left({x}+\mathrm{1}\right)\right){ln}\left({sin}^{\mathrm{3}} \left({x}\right){cos}^{\mathrm{2}} \left({x}\right)+\mathrm{1}\right)}{{sin}\left(\sqrt{{x}^{\mathrm{2}} +\mathrm{2}}\:−\sqrt{\mathrm{2}}\right){ln}\left({x}^{\mathrm{2}} +\mathrm{1}\right)} \\ $$