Question

Lim √x²-9/x-3 quando x tende a 3 pelo lado positivo

Answer 1

Resposta:

Lim √(x²-9)/(x-3)

x-->3⁺

Lim √[(x²-9)/(x-3)²]

x-->3⁺

Lim √[(x-3)*(x+3))/(x-3)²]

x-->3⁺

Lim √[(x+3)/(x-3)] = √[(3+3)/0⁺]  = +∞

x-->3⁺