[tex] \lim_{x \to \infty} \frac{ x^{2} - x }{x^{2} } [/tex]
Dai factor comun puterea cea mai mare
[tex] \lim_{x \to \infty} \frac{ x^{2}( 1 - \frac{1}{x} ) } {x^{2} } [/tex]
Se simplifica x²
[tex]\lim_{x \to \infty} 1 - \frac{1}{x} [/tex]
1/x tinde spre 0
Rezulta
[tex]l = 1 + 0 = 1[/tex]
