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Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x ∈ R. If f(x) attains minimum value at β, then lim x →αβ (x -1)(x^2 - 5x + 6)/x^2 - 6x + 8

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Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x ∈ R. If f(x) attains minimum value at β, then  lim x →αβ  (x -1)(x2 - 5x + 6)/x2 - 6x + 8  is equal to :

(1)   1/2

(2)  - 1/2

(3)  3/2

(4)  - 3/2

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