A Factorial Series Geometric Dissection (visual proof)
This is animated visual proof demonstrating the sum of the infinite series of of factorials, scaled by an appropriate value each time. This series is closed related to the famous infinite series for Euler's constant e.
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For more infinite series dissections, check out this playlist:
• Infinite Series
Here is a longer form video with lots of infinite geometric sums: • Beautiful Geometry behind Geometric S...
This animation is based on a visual proof by John Mason from the November 1995 issue of The College Mathematics Journal (https://www.jstor.org/stable/2687383 - page 381).
#math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #factorials #factorial #series #infiniteseries #fractal #infinitesum #algebra #eulerconstant #e
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