Question

$lim \sqrt[3]{ \frac{x}{x {}^{2} + 3 } } \\ x \infty$
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Answer 1

Resposta:

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