Foloseste-te de formula: [tex] \lim_{x \to \00} \frac{sin(x)}{x} = 1 [/tex]
mai intai imparti limita in doua:
[tex] \lim_{x \to \00} \frac{sin(x)}{ x^{3} } - \lim_{x \to \00} \frac{x}{ x^{3} } = \lim_{x \to \00} \frac{sin(x)}{ x } * \frac{x}{x^{3}} - \lim_{x \to \00} \frac{x}{ x^{3} }[/tex]
=[tex]lim_{x \to \00} \frac{x}{x^{3}} - \lim_{x \to \00} \frac{x}{ x^{3} }[/tex] = 0
Poti face asta si fara sa o imparti in doua limite, presupun ca asa ar fi mai simplu.
