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calculate-lim-x-0-e-x-1-x-1-x-2-x-2-




Question Number 32286 by abdo imad last updated on 22/Mar/18
calculate lim_(x→0)     (((e^x /( (√(1+x)))) −1−(x/2))/x^2 ) .
$${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\frac{\frac{{e}^{{x}} }{\:\sqrt{\mathrm{1}+{x}}}\:−\mathrm{1}−\frac{{x}}{\mathrm{2}}}{{x}^{\mathrm{2}} }\:. \\ $$

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