Limita cand x tinde la minus infinit din( x-2)e la x

Răspuns :

[tex] \lim_{x \to- \infty}(x-2)e^{x}= \lim_{x \to- \infty} \frac{x-2}{e^{-x}} [/tex]

(inf/inf si aplicam l'Hopital)

[tex] \lim_{x \to -\infty} \frac{1}{-e^{-x}}=0 [/tex]