math
Bilibili0:28Bilibili · Charles队长Original video
Calculus · 中文
The sequential criterion for function limits
A Chinese visual explanation of heine’s theorem. Catalog metadata imported from the original Math Video site and checked against the source platform; not a transcript.
Reviewed learning material · Video analysis · English
The sequential criterion for a function limit requires every sequence of domain points approaching an accumulation point, but excluding that point, to have function values approaching the same limit. The animation contrasts the consistent behavior of x² with the oscillations of sin(1/x).
Before you watch
- Function and sequence limits
- Accumulation points and punctured neighborhoods
- Periodicity of sine
