求极限lim[1+2/(x+1)]^2x+2,x趋 - 知识问答

求极限lim[1+2/(x+1)]^2x+2,x趋于无穷

1个回答

1/a=2/(x+1)
则2x+2=4a
x→∞
则a→∞
所以原式=lim(a→∞)(1+1/a)^(4a)
=lim(a→∞)[(1+1/a)^a]^4
=e^4

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