Math, asked by syedirshad29sep, 5 months ago

state and prove Archimeden
Property of 1R.

Answers

Answered by mahababu29

1

Answer:

HERE IS YOUR ANSWER MATE

Step-by-step explanation:

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.

Answered by nandy1010101

1

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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