Question 3. Show your working in each case: (a) Find all the cluster points of the set M {m +: m, n e N}. (b) True or false? The set X := {(-1)"n : n eN} has no cluster points. (c) True or false? The discrete metric space has infinitely many cluster points.

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Question 3.
Show your working in each case:
{ +: m, n E N}.
1
(a) Find all the cluster points of the set M
(b) True or false? The set X :=
{(-1)"n :
n E N} has no cluster points.
(c) True or false? The discrete metric space has infinitely many cluster points.
Transcribed Image Text:Question 3. Show your working in each case: { +: m, n E N}. 1 (a) Find all the cluster points of the set M (b) True or false? The set X := {(-1)"n : n E N} has no cluster points. (c) True or false? The discrete metric space has infinitely many cluster points.
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