Euler–Mascheroni constant
Sign in to savemathematical constant; limiting difference between the harmonic series and the natural logarithm; equal to ca 0.577
Key facts
- Rationality
- Irrational
- Symbol
- γ
- Decimal
- 0.57721...
- Continued fraction
- γ = 0 + 1 1 + 1 1 + 1 2 + 1 1 + 1 2 + 1 1 + 1 4 + … {\displaystyle \gamma =0+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{2+{\cfrac {1}{1+{\cfrac {1}{2+{\cfrac {1}{1+{\cfrac {1}{4+\dots }}}}}}}}}}}}}}}
via Wikipedia infobox
Article
The area of the blue region converges to Euler's constant.
Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log: