Question

Determine o valor do limite, caso exista: lim (x-> ∞) x²+5x +2 / 2x³ -7

Answer 1

$\underset{x\to\infty}{\lim}\frac{x^2+5x +2}{2x^3 -7}=\underset{x\to\infty}{\lim}\frac{x^2+5x +2}{2x^3 -7}\div\frac{x^3}{x^3}=\underset{x\to\infty}{\lim}\frac{\frac1x+\frac{5}{x^2} +\frac{2}{x^3}}{2 -\frac{7}{x^3}}=\frac{0+0 +0}{2-0}=\frac02=0$