1. Let X be the set of real numbers with the usual pseudometric. Find the derived set and the closure of each of the following sets: (a) A = {1/n: n = 1,2,3,...); (b) B= Z, the integers; (c) C= Q, the rational numbers.
1. Let X be the set of real numbers with the usual pseudometric. Find the derived set and the closure of each of the following sets: (a) A = {1/n: n = 1,2,3,...); (b) B= Z, the integers; (c) C= Q, the rational numbers.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 63E
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![1. Let X be the set of real numbers with the usual pseudometric. Find the
derived set and the closure of each of the following sets:
(a) A = {1/n: n = 1,2,3,...);
(b) BZ, the integers;
(c) C = Q, the rational numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2F305b8a8a-b380-48c4-a802-9125806fea8c%2F48ajva8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let X be the set of real numbers with the usual pseudometric. Find the
derived set and the closure of each of the following sets:
(a) A = {1/n: n = 1,2,3,...);
(b) BZ, the integers;
(c) C = Q, the rational numbers.
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