Question

Considere a função:

$f(x)= \frac{ x^{2} -5x+6}{x-2}$

Qual é o valor de $\lim_{x \to 3} f(x)$ ?

Answer 1

$\underset{x\to 3}{\mathrm{\ell im}}~\dfrac{x^2-5x+6}{x-2}\\\\\\ =\dfrac{3^2-5\cdot 3+6}{3-2}\\\\\\ =\dfrac{9-15+6}{3-2}\\\\\\ =\dfrac{0}{1}\\\\\\ =0$


Bons estudos! :-)