$\begin{array} { l }\lim_{x \rightarrow 0} \left(2{x}^{3}-10{x}^{7}\right),\\\lim_{x \rightarrow 0} \left(5{x}^{3}-4x\right)\end{array}$
$\begin{array} { l }0,\\\lim_{x \rightarrow 0} \left(5{x}^{3}-4x\right)\end{array}$
$\begin{array} { l }0,\\0\end{array}$
$\lim_{x \rightarrow 0} \left(\frac{ 2{x}^{3}-10{x}^{7} }{ 5{x}^{3}-4x }\right)$
$\lim_{x \rightarrow 0} \left(\frac{ x \times \left( 2{x}^{2}-10{x}^{6} \right) }{ 5{x}^{3}-4x }\right)$
$\lim_{x \rightarrow 0} \left(\frac{ x \times \left( 2{x}^{2}-10{x}^{6} \right) }{ x \times \left( 5{x}^{2}-4 \right) }\right)$
$\lim_{x \rightarrow 0} \left(\frac{ 2{x}^{2}-10{x}^{6} }{ 5{x}^{2}-4 }\right)$
$\frac{ 2 \times {0}^{2}-10 \times {0}^{6} }{ 5 \times {0}^{2}-4 }$
$0$