lim (1+2/x)^2 x→无穷大

1个回答

lim(x→∞) (1+2/x)^(x+2)
=lim(x→∞) (1+2/x)^[(x/2)*2+2)]
=lim(x→∞) [(1+2/x)^(x/2)]^2*lim(x→∞) (1+2/x)^2
=e^2

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