Question Number 156250 by cortano last updated on 09/Oct/21
$$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{x}\:\sqrt{\mathrm{cos}\:\mathrm{2x}}\:\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\mathrm{3x}}\:\sqrt[{\mathrm{4}}]{\mathrm{cos}\:\mathrm{4x}}}{\mathrm{x}^{\mathrm{2}} }\:=? \\ $$
Commented by john_santu last updated on 09/Oct/21
$${limit}=\frac{\mathrm{4}×\mathrm{5}}{\mathrm{4}}=\mathrm{5} \\ $$