Question

lim 2x³- 6x² + x -3 / x-3 x->3
resolução?????

Answer 1

Olá Sk23mi!!

$\\ \mathsf{\lim_{x \to 3} \frac{2x^3 - 6x^2 + x - 3}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{2x^2(x - 3) + 1(x - 3)}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} \frac{(x - 3)[2x^2 + 1]}{x - 3} =} \\\\\\ \mathsf{\lim_{x \to 3} (2x^2 + 1) =} \\\\ \mathsf{2 \cdot (3)^2 + 1 =} \\\\ \mathsf{2 \cdot 9 + 1 =} \\\\ \boxed{\mathsf{19}}$