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lim(x→∞) [(x-1)/(x+1)]^(x+2)
=lim(x→∞) [1-2/(x+1)]^(x+2)
=lim(x→∞) [1-2/(x+1)]^{[-(x+1)/丛派2]*(x+2)*[-2/(x+1)]}
=e^lim(x→消毁∞)-2(x+2)/(x+1)
=e^lim(x→∞) -2[1+1/(x+1)]
=e^[-2*(1+0)]
=e^(-2)
=1/e²渗桥贺
=lim(x→∞) [1-2/(x+1)]^(x+2)
=lim(x→∞) [1-2/(x+1)]^{[-(x+1)/丛派2]*(x+2)*[-2/(x+1)]}
=e^lim(x→消毁∞)-2(x+2)/(x+1)
=e^lim(x→∞) -2[1+1/(x+1)]
=e^[-2*(1+0)]
=e^(-2)
=1/e²渗桥贺
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