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Question Number 32281 by abdo imad last updated on 22/Mar/18
calculate lim_(x→∞) (√(x^2 +x+1)) −(√(x^2 −x+1)) .
$${calculate}\:{lim}_{{x}\rightarrow\infty} \sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}\:−\sqrt{{x}^{\mathrm{2}} \:−{x}+\mathrm{1}}\:\:. \\ $$

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