求limx→0[(1+x)/(1-x)]^1/x
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求limx→0[(1+x)/(1-x)]^1/x求limx→0[(1+x)/(1-x)]^1/x求limx→0[(1+x)/(1-x)]^1/xlim{x->0}[(1+x)/(1-x)]^(1/x)
求limx→0[(1+x)/(1-x)]^1/x
求limx→0[(1+x)/(1-x)]^1/x
求limx→0[(1+x)/(1-x)]^1/x
lim{x->0}[(1+x)/(1-x)]^(1/x)
=lim{x->0}[1+2x/(1-x)]^{[(1-x)/(2x)]*[2/(1-x)]}
=lim{x->0}{[1+2x/(1-x)]^[(1-x)/(2x)]}^[2/(1-x)]
=e^2
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