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
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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 }
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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