Category:Definitions/Mercator's Constant
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This category contains definitions related to Mercator's Constant.
Related results can be found in Category:Mercator's Constant.
Mercator's constant is the real number:
| \(\ds \ln 2\) | \(=\) | \(\ds \sum_{n \mathop = 1}^\infty \frac {\paren {-1}^\paren {n - 1} } n\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1 - \frac 1 2 + \frac 1 3 - \frac 1 4 + \dotsb\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 0 \cdotp 69314 \, 71805 \, 59945 \, 30941 \, 72321 \, 21458 \, 17656 \, 80755 \, 00134 \, 360 \ldots \ldots\) |
Pages in category "Definitions/Mercator's Constant"
The following 3 pages are in this category, out of 3 total.