Question Number 40120 by maxmathsup by imad last updated on 15/Jul/18
$${find}\:{the}\:{value}\:{of}\:\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{\left(\mathrm{1}+{sinx}\right)^{\frac{\mathrm{1}}{{x}}} \:−{e}^{\mathrm{1}−\frac{{x}}{\mathrm{2}}} }{\left(\mathrm{1}+{tanx}\right)^{\frac{\mathrm{1}}{{x}}} \:−{e}^{\mathrm{1}−\frac{{x}}{\mathrm{2}}} } \\ $$