Question

lim x tende a +infinito de x²+2x-3/3x²-4

Answer 1

$\lim_{x \to \infty} \frac{x^2+2x-3}{3x^2-4} \\ \lim_{x \to \infty} \frac{ \frac{x^2+2x-3}{x^2} }{ \frac{3x^2-4}{x^2} } \\ \lim_{x \to \infty} \frac{ 1 + \frac{2}{x} - \frac{3}{x^2}}{ 3-\frac{4}{x^2} } \\ \lim_{x \to \infty} \frac{ 1 }{ 3 } \\ \frac{ 1 }{ 3 }$