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Gamma!

\[ \large \gamma = \int_0^1 \left( \dfrac n{1-x^n} - \dfrac1{1-x} \right) \sum_{k=1}^\infty x^{n^k - 1} \, dx \]

Prove that the equation holds true for constant \(n\).

Notation: \( \gamma\) denote the Euler-Mascheroni constant.


This is a part of the set Formidable Series and Integrals

Note by Hummus A
6 months, 4 weeks ago

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