step-by-step
\lim_{x\to\infty}\frac{\frac{\sqrt[3]{x^{3}+2x}}{x}}{\frac{x+\sqrt{x^{2}+1}}{x}}=\lim _{x\to \infty }\frac{\frac{\sqrt[3]{x^{3}+2x}}{x^{3}}}{\frac{x+\sqrt{x^{2}+1}}{x^{2}}}
ru