求limx→0[(1-x)^(1/x)]
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求limx→0[(1-x)^(1/x)]求limx→0[(1-x)^(1/x)]求limx→0[(1-x)^(1/x)]设A=lim[(1-x)^(1/x)]lnA=limln[(1-x)^(1/x)
求limx→0[(1-x)^(1/x)]
求limx→0[(1-x)^(1/x)]
求limx→0[(1-x)^(1/x)]
设A=lim[(1-x)^(1/x)]
lnA=limln[(1-x)^(1/x)]
=lim [ln(1-x)]/x
=1/(x-1)
=-1
则A=e^(-1)=1/e
1
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