lim[（ln（1/x））^x] =lim[（1+ln（1/x）-1）^x] =lim[（1+ln（1/ex））^x] =lim{[1+ln（1/ex）]^[1/ln(1/ex) *ln(1/ex)*x]}=e^[lim(x*ln(1/ex))] =e^[-lim(x*(1+lnx))] =e^[-limx-lim(xlnx)] =e^0 =1
