Question

limita la +infinit din (x-2)/(xpatrat-4x+5)

Answer 1

O sa fie lim cand x tine la infinit din x/x^2= lim cand x tine la infinit din 1/x=0

Answer 2

$\lim_{x \to \infty} \frac{x-2}{x^2-4x+5}= \frac{\infty}{\infty}=ned$

Aplicam L„Hospital

[tex] \lim_{x \to \infty} \frac{(x-2)'}{(x^2-4x+5)'}= [/tex]

$\lim_{x \to \infty} \frac{1}{2x-4}= \frac{1}{\infty} =0$