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What is Max, Min, Sup, Inf about?

This document discusses concepts related to maximum, minimum, supremum and infimum of functions and sets of real numbers. It provides definitions and examples to illustrate these concepts, including that not every set of rational numbers has a supremum. The least upper bound axiom, which guarantees every bounded set of real numbers has a supremum, is presented as an important property that distinguishes real numbers from rational numbers.

Author

Pooja

Language

EN