Symbols:Greek/Gamma/Euler-Mascheroni Constant

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The Euler-Mascheroni Constant

$\gamma$


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

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

where $\sequence {H_n}$ are the harmonic numbers and $\ln$ is the natural logarithm.


The $\LaTeX$ code for \(\gamma\) is \gamma .

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