lim x→∞(x-1/x+1)^X/2+4

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lim x→∞(x-1/x+1)^X/2+4
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lim x→∞(x-1/x+1)^X/2+4
lim x→∞(x-1/x+1)^X/2+4

lim x→∞(x-1/x+1)^X/2+4

(x-1)/(x+1)=1-2/(x+1)
令t=-2/(x+1)
x=-2/t-1
lim x →∞ { [(x-1)/(x+1)]^(x/2+4)}
=lim t→0 {(1+t)^(-1/t-1/2+4)}
=limt→0 {[(1+t)^(7/2)] / [(1+t)^(1/t)]}
= 1/e

+4在哪个位置

Lim [x^2/(x^2-1)]^x (x→∞) lim(1+x/x)2x (x→∞) x/2-1lim(1-2/x)x→∞ lim(x)lim(x→∞) [(x-1)/(x+1)]^2x 为什么 lim(x->∞) {[(-2)/(x+1)]*2x} = -4 lim(x→∞)(1-2/x) (x+1)次方 lim(x→∞)[1+(1/x)]^x/2 lim(x→∞)(1-2/x)^2x lim x→∞(2x+1)/(3x-4) lim x→∞ x-1/x^2 lim x→∞(1-2/x)^x= 求lim(√x^2+1)-x x→-∞ 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 求极限lim x→∞ (x/(1+x))^x lim(x→+∞)(x+e^x)^(1/x) lim（ x→∞）（1+x / x)^3x lim x→1 x-1/x^2-x lim(x→0)e^x-x-1/x^2 lim(1-x)^(2/x) x->0