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i) show that a closed interval is a closed set;

i) show that a closed interval is a closed set;

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Try the following questions: (i) show that a closed interval is a closed set; (ii) show that the set of integers Z is a closed set; (iii) based on your proof of part (i), find an unbounded set that has no limit point. I have done part (i) in class, I put it here to make sure that you understand my proof. Make sure that eventually you can prove it without looking at my proof.
Transcribed Image Text:3. Try the following questions: (i) show that a closed interval is a closed set; (ii) show that the set of integers Z is a closed set; (iii) based on your proof of part (i), find an unbounded set that has no limit point. I have done part (i) in class, I put it here to make sure that you understand my proof. Make sure that eventually you can prove it without looking at my proof.
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Note: According to bartleby we have to do only first question please upload the question separately.

Let, a,b∈ℝ is any closed interval.

A set is closed if it's complement is open then a,b is defined.

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