Category:Mercator's Constant
Jump to navigation
Jump to search
This category contains results about Mercator's Constant.
Definitions specific to this category can be found in Definitions/Mercator's Constant.
Mercator's constant is the real number:
| \(\ds \ln 2\) | \(=\) | \(\ds \sum_{n \mathop = 1}^\infty \frac {\paren {-1}^\paren {n - 1} } n\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1 - \frac 1 2 + \frac 1 3 - \frac 1 4 + \dotsb\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 0 \cdotp 69314 \, 71805 \, 59945 \, 30941 \, 72321 \, 21458 \, 17656 \, 80755 \, 00134 \, 360 \ldots \ldots\) |
This category currently contains no pages or media.