Question

lim 4x^2-x+1 quando x tende para +infinito

Answer 1

$\lim_{x \to \infty}\: 4x^2 - x + 1 \\ \\ \lim_{x \to \infty}\: x^2\: \lim_{x \to \infty}\: 4 - \frac{1}{x} + \frac{1}{x^2} \\ \\ \lim_{x \to \infty}\: x^2( \lim_{x \to \infty}\: 4 + \lim_{x \to \infty}\: - \frac{1}{x} + \lim_{x \to \infty}\: \frac{1}{x^2}) \\ \\ \infty^2(4 - \frac{1}{\infty} + \frac{1}{\infty^2}) = \infty$