Question

2x² - 5x + 1 / 4 x² + 3x - 7 Lim x- infinito

Answer 1

$\lim_{x \to \infty}\frac{2x^2-5x+1}{4x^2+3x-7}$

$\lim_{x \to \infty}\frac{2-\frac{5}{x}+\frac{1}{x^2}}{4+\frac{3}{x}-\frac{7}{x^2}}$

$\lim_{x \to \infty}\frac{2-\frac{5}{\infty}+\frac{1}{\infty}}{4+\frac{3}{\infty}-\frac{7}{\infty}}$

$\lim_{x \to \infty}\frac{2-0+0}{4+0-0}$

$\lim_{x \to \infty}\frac{2}{4}$

$\frac{1}{2}$