Question

Calcule os limites usando as propriedades de Limites:

$\lim_{x \to 1} \frac{\sqrt{5x+4}-3 }{\sqrt[3]{x-2}+ 1}$

Answer 1

Resposta:

5/18

Explicação passo-a-passo:

[(1/2).5(5x+4)^(-1/2)]/(1/3)(x-2)^(-2/3)]

[(1/2).5(5.1+4)^(-1/2)]/(1/3)(1-2)^(-2/3)]

[(1/2).5(9)^(-1/2)]/(1/3)(-1)^(-2/3)]

([1/2).(5/3)]/(1/3)(1)]

(5/6)/(1/3) =

5/18