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来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/05 08:58:45

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X->∞吧分子分母同乘以((根号x 平方＋1)+x ), 这样分母变为((根号x 平方＋1)+x ),分子为x 再上下同除以X,即可得1/2 lim x((根号x 平方＋1)-x) =lim x(√(x^2+1)+x)(√(x^2+1)-x)/(√(x^2+ 1)+x) =lim x(x^2+1-x^2)/(√(x^2+1)+x) =lim 1/(√(1+1/x^2)+1) =1/(√(1+0)+1) =1/2 (每一步的X->∞在做时要写上,这里不好写,省略了)
X->0,直接算了0*(1-0)=0

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