Definition:Euler-Mascheroni Constant

Definition
The Euler-Mascheroni Constant $\gamma$ is the real number that is defined as:


 * $\displaystyle \gamma := \lim_{n \to \infty} \left({\sum_{k=1}^n \frac 1 k - \ln n}\right)$

The existence of this constant is demonstrated in Existence of Euler-Mascheroni Constant.

Its value is approximately $0.57721\ 56649\ 01532\ 86060\ 6512 \ldots$