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 = +∞.
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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