Question

Calcule o limite:

lim x -->7 5x2 -35x / 3x-21

Answer 1

$\mathrm{\lim_{x\to7}\dfrac{5x^2-35x}{3x-21}=\lim_{x\to7}\dfrac{5x(x-7)}{3(x-7)}=}\\\\ \mathrm{=\lim_{x\to7}\dfrac{5x}{3}=\dfrac{5.7}{3}=\boxed{\mathbf{\dfrac{35}{3}}}}$