Question

Limite de 1/(x^3+10(x^2)) cuando x tiende a 0

Answer 1

Veamos:

$\lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \lim_{x \to 0} \frac{1}{x^2}*\frac{1}{x + 10} \ \ \boxed{ Observaci\'on: \lim_{x \to 0} 1/x^n = \infty} \ \ Entonces: \ \ \lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty*\frac{1}{0 + 10} = \infty/10 \ \ \boxed{ \lim_{x \to 0} \frac{1}{x^3 + 10x^2} = \infty}}$

Eso es todo, Saludos! Jeizon1L