(x→∞)lim(1+2/x)^3x-1

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答案和解析

(x→∞)lim(1+2/x)^3x-1=(x→∞)lim(1+2/x)^3x/(1+2/x)=(x→∞)lim[(1+2/x)^x/2]^6/(1+2/x)=e^6

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