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速求高数解答,lim(1-x分之3)x+2次方,x趋向无穷大,求极限.
人气:140 ℃ 时间:2019-08-21 19:08:01
解答
lim[x→∞](1-3/x)^(x+2)
=lim[x→∞](1-3/x)^[-3(-x/3)+2]
=lim[x→∞](1-3/x)^[-3(-x/3)]*(1-3/x)^2
=e^(-3)
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