计算下列极限lim(x→0)(x^2-6x+8)/(x^2-5x+4)不好意思,提抄错了lim(x→4)(x^2-6x+8)/(x^2-5x+4)

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计算下列极限lim(x→0)(x^2-6x+8)/(x^2-5x+4)不好意思,提抄错了lim(x→4)(x^2-6x+8)/(x^2-5x+4)计算下列极限lim(x→0)(x^2-6x+8)/(x

计算下列极限lim(x→0)(x^2-6x+8)/(x^2-5x+4)不好意思,提抄错了lim(x→4)(x^2-6x+8)/(x^2-5x+4)
计算下列极限
lim(x→0)(x^2-6x+8)/(x^2-5x+4)
不好意思,提抄错了
lim(x→4)(x^2-6x+8)/(x^2-5x+4)

计算下列极限lim(x→0)(x^2-6x+8)/(x^2-5x+4)不好意思,提抄错了lim(x→4)(x^2-6x+8)/(x^2-5x+4)
x²-6x+8)/(x²-5x+4)
=(x-2)(x-4)/(x-1)(x-4)
=(x-2)/(x-1)
=4-2/4-1
=2/3

(x^2-6x+8)/(x^2-5x+4)
=(x²-5x+4-x+4)/(x²-5x+4)
=1+(4-x)/(x²-5x+4)
=1+1/(1-x)
=1+1
=2

。。。。。等于2

lim(x→0)(x²-6x+8)/(x²-5x+4)
=lim(x→0)(x-2)(x-4)/(x-1)(x-4)
=lim(x→0)(x-2)/(x-1)
=-2/(-1)
=2