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= Lim 6/(x - 2)(x + 1) - 2/(x - 2)
= Lim (6 - 2(x + 1)) / (x - 2)(x + 1)
= Lim (6 - 2x - 2) / (x - 2)(x + 1)
= Lim (-2x + 4) / (x - 2)(x + 1)
= Lim -2(x - 2) / (x - 2)(x + 1)
= Lim -2/(x + 1)
= -2/(2 + 1)
= -2/3