2. Show that the limit set of the set of rational numbers, i.e. Q', is the set of real numbers R, i.e, every real number is a limit point of the set of rational numbers, or simply Q' R.
2. Show that the limit set of the set of rational numbers, i.e. Q', is the set of real numbers R, i.e, every real number is a limit point of the set of rational numbers, or simply Q' R.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 13E: 13. Prove that if and are rational numbers such that then there exists a rational number such...
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