2.12.17 Asymptotic analysis

Problem: Select the main part of the form \( C\left(\frac{1}{x}\right)^{k} \) of the infinitesimal function: \[ \alpha(x)=\tan \frac{\pi x^{3}+2 x-1}{3 x^{3}-x+2}-\sqrt{3}, \quad x \rightarrow+\infty . \]