Aperiodic Alternate Divergent Series of Rational Numbers

HYPERVARIETIES

SUPERVARIETIES

VARIETIES

$\displaystyle \sum_{n\geq1} \dfrac{(-1)^{n-1}}{2n} = \dfrac{\ln 2}{2}$ (convergent)

$\displaystyle \sum_{n\geq1} \dfrac{(-1)^{n-1}}{3n} = \dfrac{\ln 2}{3}$ (convergent)

$\displaystyle \sum_{n\geq1} \dfrac{(-1)^{n-1}}{4n} = \dfrac{\ln 2}{4}$ (convergent)

SUBVARIETIES

$\displaystyle \sum_{n\geq2} \dfrac{(-1)^n}{2n} = \dfrac{1}{2} - \dfrac{\ln 2}{2}$ (convergent)

INFRAVARIETIES

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