limx→1(x^3-x^2-x+1/2x^3-3x^2+1)=?如题

分类: 作业答案 • 2022-01-02 12:48:42

问题描述：

limx→1(x^3-x^2-x+1/2x^3-3x^2+1)=?
如题

答

原式=limx→1(x+1)(x-1)²/((2x+1)(x-1)²
=limx→1(x+1)/((2x+1)
=2/3

答

lim(x->1)(x^3-x^2-x+1)/(2x^3-3x^2+1) (0/0)
=lim(x->1)(3x^2-2x-1)/(6x^2-6x) (0/0)
=lim(x->1)(6x-2)/(12x-6)
=4/6
=2/3