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lim(x,y)趋向于(无穷,a) (1+1/x)^(x^2/(x+y))
answer:e
人气:420 ℃ 时间:2020-05-19 16:18:43
解答
lim(x,y)趋向于(无穷,a) (1+1/x)^(x^2/(x+y))
= (1+1/x)^[x*x/(x+y)]
=e^[x/(x+y)]
=e^[1/(1+y/x)]
=e
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