Question

Proszę o pomoc:


[tex]\lim_{x \to \00} \frac{x-2}{x^{2} }[/tex]

Answer 1

Rozwiązanie:

Granica:

[tex]$ \lim_{x \to 0} \frac{x-2}{x^2}[/tex]

Liczymy granice jednostronne:

[tex]$ \lim_{x \to 0^{-}} \frac{x-2}{x^2}=\Big[\frac{-2}{\infty}\Big]=-\infty[/tex]

[tex]$ \lim_{x \to 0^{+}} \frac{x-2}{x^2}=\Big[\frac{-2}{\infty}\Big]=-\infty[/tex]

Zatem:

[tex]$ \lim_{x \to 0} \frac{x-2}{x^2}=-\infty[/tex]