计算:limx趋近于0（3+x/6+x）*x-1/2 ?急用下午!要详细步骤拜托各位了 3Q

你看看题这个题我见过 应该是X趋近于无穷吧 设1/t=-3/(x+6),则x=-3t-6 lim（x→∞）[(3+x)/(6+x)]^[(x-1)/2] =lim[1-3/(x+6)]^[(x-1)/2] =lim(1+1/t)^[(-3t-7)/2] =lim1/[(1+1/t)^t)^(3/2)]*(1+1/t)^(-7/2) =1/e^(3/2)