Completeness in various contexts refers to the extent to which a system, theory, or dataset encompasses all necessary components or information to be considered whole and functional. It is a crucial criterion in fields like mathematics, logic, and data science, where it ensures that no essential elements are missing, thereby enabling accurate analysis, decision-making, and problem-solving.
The limit of a sequence is a fundamental concept in calculus and analysis that describes the value a sequence approaches as the index goes to infinity. If a sequence has a limit, it is said to converge to that limit; otherwise, it diverges.