lim趋向1,(1-根号下x)/(x-1)?

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lim趋向1,(1-根号下x)/(x-1)?lim趋向1,(1-根号下x)/(x-1)?lim趋向1,(1-根号下x)/(x-1)?lim[√(1-x)-1]/xx->0lim[√(1-x)-1][√

lim趋向1,(1-根号下x)/(x-1)?
lim趋向1,(1-根号下x)/(x-1)?

lim趋向1,(1-根号下x)/(x-1)?
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