Question

lim→-∞ -5x9 + 4x6 / 4x4 + 2x²
me ajudem pfv!!!

Answer 1

$\lim_{x \to - \infty} \frac{-5x^{9}+ 4x^{6}  }{4x^{4}+2x^{2}  }$

reduzindo e fatorando temos:

$\frac{-5x^{7} +4x^{4} }{4x^{2} +2}$

logo:

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

$\frac{ \lim_{x \to -\infty} (-5x^{5}+4x^{2})  }{ \lim_{x \to -\infty} (4+\frac{2}{x}) } \\\frac{ (-5*(-\infty)^{5}+4(-\infty)^{2})}{(4+\frac{2}{-\infty})} \\(\infty+\infty)/4\\= \infty$