Divergent Products of Real Numbers

SUPERVARIETY

VARIETY

$\displaystyle \prod_{n\geq1} \sqrt{2\pi} = \sqrt{2\pi}\,.\,\sqrt{2\pi}\,.\,\sqrt{2\pi}\,.\,\sqrt{2\pi}\,.\,\ldots = \dfrac{1}{(2\pi)^\frac{1}{4}}$ (unstable)

$\displaystyle \prod_{n\geq1} \sqrt{2\pi n} = \sqrt{2\pi}\,.\,2\sqrt{\pi}\,.\,\sqrt{6\pi}\,.\,2\sqrt{2\pi}\,.\,\ldots = 1$ (unstable)

SUBVARIETY

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