The limit of functors is a construction in category theory that generalizes the concept of limits to functor categories, allowing for the study of relationships between different categories through their functors. This concept is crucial for understanding how various structures can be compared and related through morphisms and natural transformations, providing insight into their collective behavior. Limits of functors play an important role in the Yoneda lemma, as they help in characterizing the nature of objects and their relationships within the framework of functor categories.
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