Math, asked by poornima02903, 3 months ago

state an prove "Archimedian property of real numbers.

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Answered by XxitzArnavxX

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$\huge\tt\colorbox{lime}{AnsweR}$

Definition An ordered field F has the Archimedean Property if, given any positive x and y in F there is an integer n > 0 so that nx > y. Theorem The set of real numbers (an ordered field with the Least Upper Bound property) has the Archimedean Property. ... Thus n ≤ α for all n ∈ N and is the smallest such real number.

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