Subiectul al III-lea, 1. b)

b) lim_{x→+∞} (f(x) − ln x)/(x² + x + 4) = lim_{x→+∞} (2x² + 1)/(x² + x + 4) = lim_{x→+∞} [x²(2 + 1/x²)]/[x²(1 + 1/x + 4/x²)] = - 3p = lim_{x→+∞} (2 + 1/x²)/(1 + 1/x + 4/x²) = 2 - 2p