Đáp án:
$\begin{array}{l}
Dkxd:\sqrt[3]{{27{x^3} + x}} \ne 0\\
\Leftrightarrow 27{x^3} + x \ne 0\\
\Leftrightarrow x\left( {27{x^2} + 1} \right) \ne 0\\
\Leftrightarrow x \ne 0\left( {do:27{x^2} + 1 > 0} \right)\\
\Leftrightarrow TXĐ:D = R\backslash \left\{ 0 \right\}\\
+ \mathop {\lim }\limits_{x \to 0 + } y = + \infty \\
+ \mathop {\lim }\limits_{x \to 0 - } y = - \infty \\
\Leftrightarrow TCĐ:x = 0
\end{array}$