Question

$\lim_{x \to \ 0} \frac{x^{2} +5x }{ x^{3} }$

Cum se rezolva pas cu pas?

Answer 1

$\lim_{x \to \0} \frac{x^2+5x}{x^3}= \lim_{x \to 0} \frac{x(x+5)}{x*x^2}= \lim_{x \to 0} \frac{x+5}{ x^{2} } = \frac{5}{0}=$∞

Answer 2

[tex] \lim_{x \to \ 0 \frac{x^2+5x}{x^3}= \frac{0}{0}=ned [/tex]

Aplicam L`Hospital

$\lim_{x \to \ 0 \frac{(x^2+5x)`}{(x^3)`}= \frac{2x+5}{3x^2}= \frac{5}{0}=\infty$