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Question Number 30510 by abdo imad last updated on 22/Feb/18

find  lim_(x→0^(+ ) )     (√x) [ (1/x)]  and lim_(x→+∞)   (([x])/x) .

$${find}\:\:{lim}_{{x}\rightarrow\mathrm{0}^{+\:} } \:\:\:\:\sqrt{{x}}\:\left[\:\frac{\mathrm{1}}{{x}}\right]\:\:{and}\:{lim}_{{x}\rightarrow+\infty} \:\:\frac{\left[{x}\right]}{{x}}\:. \\ $$

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