Question 3. Show your working in each case: (a) Find all the cluster points of the set M = {÷ +;: m, n E N}. m (b) True or false? The set X := {(-1)"n : n E N} has no cluster points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 56E
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Question 3.
Show your working in each case:
(a) Find all the cluster points of the set M = {÷+;:
т,пEN}.
(b) True or false? The set X := {(-1)"n : n E N} has no cluster points.
1
(c) True or false? The discrete metric space has infinitely many cluster points.
Transcribed Image Text:Question 3. Show your working in each case: (a) Find all the cluster points of the set M = {÷+;: т,пEN}. (b) True or false? The set X := {(-1)"n : n E N} has no cluster points. 1 (c) True or false? The discrete metric space has infinitely many cluster points.
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