Answered: Let F be the family of subsets of [0,…

Let F be the family of subsets of [0, ∞) defined by F = {[2^(n−1) −1, 2^(n)-1)} n∈N. Prove that this family of sets is a partition of [0, ∞).

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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Question

Problem 8
Let F be the family of subsets of [0, ∞) defined by
F = {[2^(n−1) −1, 2^(n)-1)} n∈N.
Prove that this family of sets is a partition of [0, ∞).

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