10. Show that the set of numbers of the form k/5", where k is aninteger and n a positive integer, is dense in the line.

The set of numbers of the form k5n where k is an integer are dense if every real number has rational…

Answered: Show that the set of numbers of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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Show that the set of numbers of the form k/5", where k is an integer and n a positive integer, is dense in the line.