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求极限x→无穷大lim(1-2/3x)^(x+1)麻烦具体
人气:207 ℃ 时间:2019-11-11 12:49:46
解答
知道无穷lim(1+1/x)^x=e吧(不知道就追问一下)
lim(1-2/3x)^(x+1)
=lim(1-2/3x)^x 乘lim(1-2/3x)
=lim(1-2/3x)^x
设1/t=-2/3x x=-2t/3
=lim(1+1/t)^t(-2/3)
=e^(-2/3)
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