Mark M. answered 01/02/20
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Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
Divide the numerator and denominator by x2 to obtain:
limx→∞ [ (-4x + 3 + 6/x) / (6 - 4/x - 5/x2) ] = (-∞ + 3 + 0) / (6 - 0 - 0) = -∞