(D), (a) Let E = Q. Find the set of cluster points of E and prove that E is neither open %3D nor closed in R. (b) Let E = = (0, 00). Show that the set E is open in R.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.7: Applications
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Real Analysis 1-  KINDLY SOLVE BOTH IN DETAIL 

2. Choose and work either (a) or (b), NOT BOTH.
(a) Let E =0. Find the set of cluster points of E and prove that E is neither open
%3D
nor closed in R.
(b) Let E = (0, 00). Show that the set E is open in R.
Transcribed Image Text:2. Choose and work either (a) or (b), NOT BOTH. (a) Let E =0. Find the set of cluster points of E and prove that E is neither open %3D nor closed in R. (b) Let E = (0, 00). Show that the set E is open in R.
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