Question

O Limite de (x2 - 4)/(x -2), quando x tende a 2 é:

Grupo de escolhas da pergunta

( )2

( )-4

( )-2

( )4

( )0

Answer 1

Explicação passo-a-passo:

Temos que $f(x)=\dfrac{x^{2} -4}{x-2}$

$\displaystyle\lim_{x \to \ 2} f(x)=\displaystyle\lim_{x \to \ 2}\frac{x^{2} -4}{x-2} \\\\\text Fatorando\ o\ n\'umerador:\\\\\displaystyle\lim_{x \to \ 2} f(x)=\displaystyle\lim_{x \to \ 2}\frac{(x+2).(x-2)}{x-2}\\\\\displaystyle\lim_{x \to \ 2} f(x)=\displaystyle\lim_{x \to \ 2}(x+2)\\\\\displaystyle\lim_{x \to \ 2} f(x)=2+2\\\\\boxed{\boxed{\displaystyle\lim_{x \to \ 2} f(x)=4}}$