Definition:Alternating Harmonic Series

Definition
The alternating harmonic series is the special case of the Newton-Mercator Series:

for $x = 1$:


 * $\displaystyle \sum_{n \mathop = 1}^\infty \frac {\paren {-1}^\paren {n - 1} } n = 1 - \frac 1 2 + \frac 1 3 - \frac 1 4 + \cdots$

Also see

 * Newton-Mercator Series for ln 2


 * Definition:Mercator's Constant
 * Newton-Mercator Series


 * Definition:Harmonic Series