limit objects

In mathematics, a "limit object" is a way to describe the behavior of a sequence or collection of complex structures as they grow large or become more intricate. Instead of examining each detail individually, a limit object captures the overall pattern or structure that emerges in the limit—when the structures are infinitely large or refined. Think of it as a summarized blueprint that represents the long-term behavior or essence of a sequence, providing insights into the ultimate shape or properties that develop as the structures evolve.