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