Question

Lim
$\sqrt[3]{ \frac{x}{x {}^{2} + 3 } }$

x-00​

Answer 1

Lim  ∛[x/(x²+3)]

x-->∞

Podemos tirar ∛

Lim  [x/(x²+3)]

x-->∞

Lim  [x²*(1/x)/x²*(1+3/x²)]

x-->∞

Lim  [(1/x)/(1+3/x²)]  =(1/∞)/(1+3/∞²)=0/1=0

x-->∞

Voltamos com ∛

==>∛0 =0  é a resposta