11.7 Let (rn) be an enumeration of the set Q of all rational numbers. Show there exists a subsequence (rnk) such that limk→∞ nk = +∞.
11.7 Let (rn) be an enumeration of the set Q of all rational numbers. Show there exists a subsequence (rnk) such that limk→∞ nk = +∞.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 62E
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![11.7 Let (rn) be an enumeration of the set Q of all rational numbers. Show
there exists a subsequence (rnk) such that limk→∞ nk = +∞.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50a2b28e-29db-4d0a-87af-992287791e23%2F69565406-dd3e-469e-b572-878a3a4dd86d%2Fm3k77px_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.7 Let (rn) be an enumeration of the set Q of all rational numbers. Show
there exists a subsequence (rnk) such that limk→∞ nk = +∞.
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