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. 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 } None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
O None of the above.
The set S=[1,3) is not compact. Which open cover of S contains a finite subcover?
{[1,3 + 1/n) | nEN }
O {(1-1/n, 3 + 1/n) | nEN }
{(1 + 1/n, 3 + 1/n) | nEN }
O None of the above
Transcribed Image Text: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 O None of the above. The set S=[1,3) is not compact. Which open cover of S contains a finite subcover? {[1,3 + 1/n) | nEN } O {(1-1/n, 3 + 1/n) | nEN } {(1 + 1/n, 3 + 1/n) | nEN } O None of the above
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