Definition:Mercator's Constant/Also known as
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Mercator's Constant: 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 James Gregory, or Grégoire de Saint-Vincent, both of whom were early pioneers into the result of sums of convergent series.
Sources
- 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $0,69314 7805 \ldots$
- 1992: Larry C. Andrews: Special Functions of Mathematics for Engineers (2nd ed.) ... (previous) ... (next): $\S 1.2.2$: Summary of convergence tests: Example $4$