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calculate-lim-x-0-2-1-cosx-sinx-x-3-1-x-2-1-4-sin-5-x-x-5-




Question Number 33593 by abdo imad last updated on 19/Apr/18
calculate lim_(x→0)     ((2(1−cosx)sinx −x^3  (1−x^2 )^(1/4) )/(sin^5 x −x^5 ))
$${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\frac{\mathrm{2}\left(\mathrm{1}−{cosx}\right){sinx}\:−{x}^{\mathrm{3}} \:\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{4}}} }{{sin}^{\mathrm{5}} {x}\:−{x}^{\mathrm{5}} } \\ $$

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