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Question Number 40117 by maxmathsup by imad last updated on 15/Jul/18
calculate lim_(x→0)     (1/(sin^4 x)){ sin((x/(1−x)))−((sinx)/(1−sinx))}
$${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\frac{\mathrm{1}}{{sin}^{\mathrm{4}} {x}}\left\{\:{sin}\left(\frac{{x}}{\mathrm{1}−{x}}\right)−\frac{{sinx}}{\mathrm{1}−{sinx}}\right\} \\ $$

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