Question

Calcular lim x²-4x+3 /
x+3 x tende-3

Answer 1

Boa tarde
$\lim_{x \to\(-3} \dfrac{x^2 -4x +3}{x+3}\\\\ fatorando\ o\ numerador\ pelas\ raizes\ dele: 3\ e\ 1\\\\ \lim_{x \to\(-3} \dfrac{(x+3)(x+1)}{x+3}\\\\ \lim_{x \to\(-3}\ x+1\\\\ Aplicando\ o\ limite: \lim_{x \to\(-3}\ -3+1 = -2$

Espero que seja isso, abçs!

Answer 2

$\lim x \rightarrow - 3 \: \frac{x ^{2} - 4x + 3 }{x + 3} \\ \\ propriedade: \\ \\ \frac{ \lim x \rightarrow - 3 \: (x + 3)(x + 1) }{ \lim x \rightarrow - 3 \: x + 3} = \frac{(\cancel{x + 3})(x + 1)}{\cancel{x + 3}} = x + 1 = - 3 + 1 = - 2$