Which characteristic/s implies(y) that a et S of real numbers is closed? S has no accumulation points OS is bounded S has an open cover that contains a finite subcover O None of the above. 14 The set S=[1,3) is not compact. Which pen cover of S contains a finite ubcover?
Which characteristic/s implies(y) that a et S of real numbers is closed? S has no accumulation points OS is bounded S has an open cover that contains a finite subcover O None of the above. 14 The set S=[1,3) is not compact. Which pen cover of S contains a finite ubcover?
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
For 13-14. Choose the letter of the correct answer
![13
Which characteristic/s implies (y) that a
set S of real numbers is closed?
S has no accumulation points
S is bounded
S has an open cover that contains a finite
subcover
None of the above.
14
The set S=[1,3) is not compact. Which
open cover of S contains a finite
subcover?
O {[1, 3+1/n) | nEN }
O {(1-1/n, 3 + 1/n) | nEN }
O {(1+1/n, 3 + 1/n) | nEN }](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1327fa96-415a-41dc-a247-5823993e3ffd%2F90036254-b779-4636-bc13-ff53cb55ad85%2Fnhm0gdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13
Which characteristic/s implies (y) that a
set S of real numbers is closed?
S has no accumulation points
S is bounded
S has an open cover that contains a finite
subcover
None of the above.
14
The set S=[1,3) is not compact. Which
open cover of S contains a finite
subcover?
O {[1, 3+1/n) | nEN }
O {(1-1/n, 3 + 1/n) | nEN }
O {(1+1/n, 3 + 1/n) | nEN }
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