等价代换:(1-x)=y lnx=ln(1-y)arcsin(1-x)等价于ylnx等价于(-y)(2)式=limy/(-y)= -1
令x-1=t,则x=t+1x→1,则t→0lim arcsin(1-x)/lnxx→1=lim arcsint/ln(1+t)t→0=lim t/tt→0=1