lim(x→∞)(x+1/x+2)的x次方 答案是e的负一次方
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lim(x→∞)(x+1/x+2)的x次方答案是e的负一次方lim(x→∞)(x+1/x+2)的x次方答案是e的负一次方lim(x→∞)(x+1/x+2)的x次方答案是e的负一次方lim(x→∞)(X
lim(x→∞)(x+1/x+2)的x次方 答案是e的负一次方
lim(x→∞)(x+1/x+2)的x次方 答案是e的负一次方
lim(x→∞)(x+1/x+2)的x次方 答案是e的负一次方
lim(x→∞) (X+1/X+2)^x
=lim(x→∞) [1-1/(X+2)]^x
=lim(x→∞) [1-1/(X+2)]^{[-(x+2)+2]*(-1)}
=e^(-1)=1/e
lim(x→∞) (X+1/X+2)^x
=lim(x→∞) [1-1/(X+2)]^x
=lim(x→∞) [1-1/(X+2)]^{[-(x+2)+2]*(-1)}
=e^(-1)=1/e
lim(x→∞)(x+1/x+2)的x次方
=lim(x→∞)(1-1/x+2)的[-(x+2)*x/(-x-2)]次方
=lim(x→∞)e的[x/(-x-2)]次方
=e^(-1)
利用换元,设x+2=t,变成了lim(t趋于无穷大)
](t-1)/t]的(t-2)次方,等于e的[(2-t)]/t次方,所以为e的负一次方
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