Question

Resolva Lim (x²-4) / (x-2) x→2

Answer 1

Resposta: 4

Explicação passo-a-passo:

Lim x²-4/x-2 = Lim (x-2)(x+2)/(x-2) = Lim x+2 = 4

x -> 2              x -> 2                         x-> 2

Answer 2

$\mathsf{\lim_{x \to 2} \dfrac{{x}^{2}-4}{x-2}}\\\mathsf{\lim_{x \to 2} \dfrac{\cancel{(x-2)}(x+2)}{\cancel{(x-2)}}}\\\mathsf{\lim_{x \to 2}x+2=2+2=4}$

portanto

$\boxed{\boxed{\mathsf{\lim_{x \to 2} \dfrac{{x}^{2}-4}{x-2}=4}}}$