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lim-x-0-1-cos-x-sin-x-1-3-sin-2-x-




Question Number 166771 by cortano1 last updated on 27/Feb/22
     lim_(x→0)  (((√(1−cos x))−((sin x))^(1/3) )/(sin^2 x)) =?
$$\:\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{1}−\mathrm{cos}\:\mathrm{x}}−\sqrt[{\mathrm{3}}]{\mathrm{sin}\:\mathrm{x}}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}\:=? \\ $$

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