Question

calcule lim┬(x→∞)⁡〖((3x²-3x)/(x²+4x))^ 〗

Answer 1

$\lim_{x \to \infty} \dfrac{3x^2 - 3x}{x^2+4} = \lim_{x \to \infty} \dfrac{x^2}{x^2}\left(\dfrac{3 - \dfrac{3}{x}}{1+\dfrac{4}{x^2}} \right) = 3/1 = 3$