math
Bilibili0:28Bilibili · Charles队长Original video
Calculus · 中文
Comparing function limits
A Chinese visual explanation of comparing function limits. 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 video contrasts left/right limits in one variable with approaches to a point in two variables. A multivariable limit requires uniform control of every nearby domain point. For xy/(x²+y²), the coordinate axes give zero while the diagonals give ±1/2, disproving the limit at the origin.
Before you watch
- One-variable limits
- Plane neighborhoods and distance
- Quantifiers in limit definitions
