Question

por favor me ajudem com esse limite $\lim_{x \to+ \infty} \frac{ 915x^{5}+ 2x^{4} +3 x^{2}+8 }{ 2x^{6} +2 x^{3} +3}$

Answer 1

Olá!!

$\lim_{x\to\infty} \frac{x^5(915 + \frac{2}{x} + \frac{3}{x^3} + \frac{8}{x^5})}{x^6(2 + \frac{2}{x^3} + \frac{3}{x^6})} = \\\\\\ \lim_{x\to\infty} \frac{(915 + \frac{2}{x} + \frac{3}{x^3} + \frac{8}{x^5})}{x(2 + \frac{2}{x^3} + \frac{3}{x^6})} = \\\\\\ \frac{915}{\infty}=\\\\\\\boxed{0}$