lim(x→0)[(1/e)*(1+x)^(1/x)]^(1/x)=lim(x→0)e^ln{[(1/e)*(1+x)^(1/x)]^(1/x)}=e^lim(x→0)(-1+ln(1+x)/x)/x=e^lim(x→0)(-x+ln(1+x))/x^2[洛必达法则]=e^lim(x→0)(-1+1/(1+x))/2x=e^lim(x→0)(-x)/[2x(1+x)]=e^(...