Definition:Mercator's Constant

Definition
Mercator's constant is the real number:

Also known as
Mercator's constant is also known as the alternating harmonic series.

Some sources refer to it as Gregory's constant, either for, or , both of whom were early pioneers into the result of sums of convergent series.

Also see

 * Power Series Expansion for Logarithm of 1 + x


 * Newton-Mercator Series for ln 2


 * Definition:Harmonic Series