求高数题目.求极限,x+根号3（1-x^3),x趋向于正无穷
问题描述：
求高数题目.求极限,x+根号3（1-x^3),x趋向于正无穷
...我看了解答.但是没看懂.希望能仔细讲解!
答
lim [x+(1-x³)^(1/3)]分子分母同除以x=lim [1+(1/x³ - 1)^(1/3)] / (1/x)=lim [1-(1- 1/x³)^(1/3)] / (1/x)=lim -[(1- 1/x³)^(1/3) - 1] / (1/x)(1- 1/x³)^(1/3) - 1与-(1/3)(1/x³)是...