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Question 13 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If A is compact, then A is closed; moreover, the proof of this fact relies upon looking at sets of the form Un=(-∞,x-1/n)U(x+1/n,∞) for a specifically chosen X. ALT+EN+F10 (Mac)

Question 13 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If A is compact, then A is closed; moreover, the proof of this fact relies upon looking at sets of the form Un=(-∞,x-1/n)U(x+1/n,∞) for a specifically chosen X. ALT+EN+F10 (Mac)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 13 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If A is compact, then A is closed; moreover, the proof of this fact relies upon looking at sets of the form U=(-∞,x-1/n) U(x+1/n,∞) for a specifically chosen X. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Open Sans,sa... V 10pt - x 1- E A XQ 用图 Ť ☺) I AV H. 中国
Transcribed Image Text:Question 13 Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an explanation or a counterexample. If A is compact, then A is closed; moreover, the proof of this fact relies upon looking at sets of the form U=(-∞,x-1/n) U(x+1/n,∞) for a specifically chosen X. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Open Sans,sa... V 10pt - x 1- E A XQ 用图 Ť ☺) I AV H. 中国
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