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lim(x->∞) (4x²+3x-1)/(x²-6x +3)
lim(x->∞) { 4x²/x² + 3x/x² -1/x²} / {x²/x² -6x/x² + 3/x²}
lim(x->∞) {4 + 3/x - 1/x²) / (1 -6/x + 3/x²)
= (4 + 0 - 0)/(1 - 0 + 0)
= 4/1
= 4