(a) Let A be the subset of R defined by A {1- :nEN}. Find all cluster points of A and justify your answer. (b) Let ScR and let e e R be a cluster point of S. Prove that for each e > 0 the set W:= Sn(e-t.e+c) has infinitely many elements.
(a) Let A be the subset of R defined by A {1- :nEN}. Find all cluster points of A and justify your answer. (b) Let ScR and let e e R be a cluster point of S. Prove that for each e > 0 the set W:= Sn(e-t.e+c) has infinitely many elements.
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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