计算极限x→2 lim(x눀-3x+2)⼀x눀-4

2024-12-02 06:40:27
推荐回答(4个)
回答1:

(x²-3x+2)/x²-4
=(x-2)(x-1)\(x-2)(x+2)
=(x-1)\(x+2)
所以 原式=1\4

回答2:

x→2 lim(x²-3x+2)/x²-4
=x→2 lim(x-1)(x-2)/(x+2)(x-2)
=x→2 lim(x-1)/(x+2)
=(2-1)/(2+2)
=1/4

回答3:

lim(x->2) (x^2-3x+2)/(x^2-4)
=lim(x->2) (x-1)(x-2)/[(x-2)(x+2)]
=lim(x->2) (x-1)/(x+2)
=1/4

回答4:

楼主,谁最快你就采谁吧。