Question

Limites de guidorrizzi, alguém me ajuda

Answer 1

a) Acompanhe:

$\displaystyle f(2)=L \\ \\ \\ \lim_{x \to 2} \frac{x^2-4}{x-2} = \frac{(x+2)(x-2)}{(x-2)} = x+2 = 4 \\ \\ \\ \lim_{x \to 2} f(x) =f(2) \\ \\ \\ \boxed{4=L}$

b)

$\displaystyle f(0)=L \\ \\ \\ \lim_{x \to 0} \frac{x^2-x}{x} = \frac{x \cdot (x-1)}{x}=x-1=-1 \\ \\ \\ \lim_{x \to 0} f(x)=f(0) \\ \\ \\ \boxed{-1=L}$