lim趋向1,(1-根号下x)/(x-1)?
问题描述：
lim趋向1,(1-根号下x)/(x-1)?
答
lim [√(1-x) -1]/x
x->0
lim [√(1-x) -1][√(1-x) +1]/x[√(1-x) +1]
=lim -x/x[√(1-x) +1]
x->0
=lim -1/[√(1-x) +1]
x->0
=-1/2