lim趋向1,(1-根号下x)/(x-1)?_数学解答

lim趋向1,(1-根号下x)/(x-1)?

人气：111 ℃　时间：2020-05-08 10:54:34

解答

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