如题所述
利用洛必达法则求极限
lim(x趋于+∞)ln(x-1)/(x-1)(x-2)
=lim(x趋于+∞)ln(x-1)/[x² (1-1/x)(1-2/x)]=lim(x趋于+∞)ln(x-1)/x²=lim(x趋于+∞)1/2x(x-1)=0