Practice

This is practice page with tasks

\[ \left( \sum_{i=1}^{n} \int_{0}^{\infty} \frac{x^{\alpha_i - 1}}{e^{\beta_i x} - 1} \, dx \right)= \prod_{i=1}^{n} \Gamma(\alpha_i)\zeta(\alpha_i)\beta_i^{-\alpha_i} \]

Inline variant

\( \int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi} \)

More than one expession

\[ \sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}, \quad \lim_{x \to 0} \frac{\sin x}{x} = 1 \]