Periodic Alternate Divergent Series of Integers

VARIETIES

Periodic alternate divergent series [2–2]

\displaystyle \sum_{n\geq 1} (-1)^{n-1} \, 2 = 2-2+2-2+2-2\pm\cdots = 1   (stable)

Periodic alternate divergent series [3–3]

\displaystyle \sum_{n\geq 1} (-1)^{n-1} \, 3 = 3-3+3-3+3-3\pm\cdots = \dfrac{3}{2}   (stable)

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