x趋于无穷时,(x/(x+1))^x求极限
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x趋于无穷时,(x/(x+1))^x求极限
lim(x/(x+1))^x
=lim1/【(x+1)/x)】^x
=lim1/(1+1/x))^x
=1/e
=lim1/【(x+1)/x)】^x
=lim1/(1+1/x))^x
=1/e
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