lim((x+2a)/(x-a))^(x/3)=8,x→∞求a 答案是limx→∞[(x+2alim((x+2a)/(x-a))^(x/3)=8,x→∞求a答案是limx→∞[(x+2a)/(x-a)]^(x/3)=limx→∞[1+ 3a/(x-a)]^(x/3)=limx→∞[1+ 3a/(x-a)]^ [(x-a)/3a *ax/(x-a)]=8,显然x趋于∞

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