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Question Number 40110 by maxmathsup by imad last updated on 15/Jul/18

find  lim_(x→+∞) x{(1+a)^(1/x)  −a^(1/x) }     (a>0)

$${find}\:\:{lim}_{{x}\rightarrow+\infty} {x}\left\{\left(\mathrm{1}+{a}\right)^{\frac{\mathrm{1}}{{x}}} \:−{a}^{\frac{\mathrm{1}}{{x}}} \right\}\:\:\:\:\:\left({a}>\mathrm{0}\right) \\ $$

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