Question

va rog daca puteti sa ma ajutati.
lim x tinde la +infinit din 2x patrat - 3x + 5 supra: x patrat + x +2

Answer 1

Cand x tinde la infinit, atunci fractiile cu x la numitor si numaratorul numar finit tind la 0. Rezolvarea este in poza.

Answer 2

$\lim_{x \to \infty} \frac{2x^2-3x+5}{x^2+x+2}= \frac{\infty}{\infty} =ned.$

Aplicam Hospital

[tex] \lim_{x \to \infty} \frac{(2x^2-3x+5)`}{(x^2+x+2)`}= \lim_{x \to \infty} \frac{4x-3}{2x+1}= \frac{\infty}{\infty}=ned [/tex]

Aplicam l`hospital

[tex] \lim_{x \to \infty} \frac{(4x-3)`}{(2x+1)`}= \lim_{x \to \infty} \frac{4}{2}=2 [/tex]