Uploaded February 2026 | Updated September 2026, 2 weeks ago
Divergent Series Equality?
In this short video, we show how the square of one divergent series can be thought of as the same as another divergent series IF we treat these series like they are convergent and apply normal theorems for convergent series to them.
The resulting product is bogus, but the visual is intriguing. What else could you "prove" if you apply theorems you aren't allowed to to divergent series?
To see what you can do with this type of move, check out my visual attempt at summing the positive integers:
youtu.be/hB2F9lyr2_k
If you liked this video, consider liking or subscribing. Or you can support me by buying me a coffee at buymeacoffee.com/VisualProofs
Thanks!
#manim #maths #mathematics #infinitesum #series #infiniteseries #divergentseries #divergent #convergent
To learn more about animating with manim, check out:
https://manim.community
Divergent Series Equality?
In this short video, we show how the square of one divergent series can be thought of as the same as another divergent series IF we treat these series like they are convergent and apply normal theorems for convergent series to them.
The resulting product is bogus, but the visual is intriguing. What else could you "prove" if you apply theorems you aren't allowed to to divergent series?
To see what you can do with this type of move, check out my visual attempt at summing the positive integers:
youtu.be/hB2F9lyr2_k
If you liked this video, consider liking or subscribing. Or you can support me by buying me a coffee at buymeacoffee.com/VisualProofs
Thanks!
#manim #maths #mathematics #infinitesum #series #infiniteseries #divergentseries #divergent #convergent
To learn more about animating with manim, check out:
https://manim.community
