limx(1-2\x)^x,x趋向正无穷,
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limx(1-2\x)^x,x趋向正无穷,
limx(1-2\x)^x,x趋向正无穷,
limx(1-2\x)^x,x趋向正无穷,
=lim[(1-2/x)^(-x/2)]^(-2)
=e^(-2)
原式=lim(1-2/x)^((-x/2)*(-2))=e^-2
lim(1 - 2/x)^x = lim(1 - 2/x)^[(-x/2)*(-2)]
=[lim(1-2/x)^(-x/2)]^(-2)
=e^-2