Question

lim(x^2-25)/x+5 quando x tende a -5

Answer 1

$\underset{x \to -5}{\mathrm{\ell im}}\;\dfrac{x^{2}-25}{x+5}\\ \\ \\ =\underset{x \to -5}{\mathrm{\ell im}}\;\dfrac{\left(x+5 \right )\cdot \left(x-5 \right )}{x+5}$


Simplificando o fator comum $\left(x+5 \right)$ no numerador e no denominador, temos

$\underset{x \to -5}{\mathrm{\ell im}}\;\left(x-5 \right )\\ \\ =-5-5\\ \\ =-10$