lim x趋近于0 1-根号1-x/x
问题描述：
lim x趋近于0 1-根号1-x/x
答
x→0
lim (1-√(1-x))/x (0/0 型，上下求导)
=lim (-1/(2√(1-x)))/1
= lim -1/(2√(1-x))
=-1/2
答
x→0
lim (1-√(1-x))/x
=lim (1-√(1-x))(1+√(1-x)) / x(1+√(1-x))
=lim x / x(1+√(1-x))
=lim 1 / (1+√(1-x))
=1/(1+1)
=1/2
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