Question

Lim x>+infinito ( 5 – 4x + x2 – x5)

Answer 1

$\lim_{x \to \infty} (ax^n+\dots+bx+c)=-\infty,\ a<0,\ n\ \mathrm{ \´impar}$

$\lim_{x \to \infty} (5-4x+x^2-x^5)\\\\ a=-1,\ n=5\ \therefore\\\\ \boxed{\lim_{x \to \infty} (5-4x+x^2-x^5)=-\infty}$