Lim(x趋向无穷)[(x^2-6x+8)/(x^2-5x+4)]?

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Lim(x趋向无穷)[(x^2-6x+8)/(x^2-5x+4)]?
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Lim(x趋向无穷)[(x^2-6x+8)/(x^2-5x+4)]?
Lim(x趋向无穷)[(x^2-6x+8)/(x^2-5x+4)]?

Lim(x趋向无穷)[(x^2-6x+8)/(x^2-5x+4)]?
lim(x趋向无穷) (x^2-6x+8)/ (x^2-5x+4)
=lim(x趋向无穷) (x-2)(x-4)/ ( (x-1)(x-4) )
=lim(x趋向无穷) (x-2)/(x-1)
=lim(x趋向无穷)(x-1)-1/(x-1)
=lim(x趋向无穷){1-1/(x-1)}
x趋向无穷时极限等于1