Question Number 40109 by maxmathsup by imad last updated on 15/Jul/18
$${find}\:\:{lim}_{{x}\rightarrow+\infty} {x}\left\{\left(\mathrm{1}+{a}\right)^{\frac{\mathrm{1}}{{x}}} \:−{a}^{\frac{\mathrm{1}}{{x}}} \right\}\:\:\:\:\:\left({a}>\mathrm{0}\right) \\ $$