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x²-6x+8=(x-2)(x-4) x²-5x+4=(x-1)(x-4) ∴(x^2-6x+8)/(x^2-5x+4)=(x-2)/(x-1) ∴lim (x^2-6x+8)/(x^2-5x+4) x→4=(4-2)/(4-1)=2/3
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