# Category:Euler-Mascheroni Constant

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This category contains results about the Euler-Mascheroni constant.

Definitions specific to this category can be found in Definitions/Euler-Mascheroni Constant.

The **Euler-Mascheroni constant** $\gamma$ is the real number that is defined as:

\(\displaystyle \gamma\) | \(:=\) | \(\displaystyle \lim_{n \mathop \to +\infty} \paren {\sum_{k \mathop = 1}^n \frac 1 k - \int_1^n \frac 1 x \rd x}\) | |||||||||||

\(\displaystyle \) | \(=\) | \(\displaystyle \lim_{n \mathop \to +\infty} \paren {H_n - \ln n}\) |

where $H_n$ is the harmonic series and $\ln$ is the natural logarithm.

## Subcategories

This category has only the following subcategory.

### D

## Pages in category "Euler-Mascheroni Constant"

The following 15 pages are in this category, out of 15 total.