11 Which among the sets is open? O [0,1) {0,...,1/n,...,1/3,1/2,1} None of the above. 12 Consider the following families of se indexed by the set of natural number Which among these is closed? OR\[a,b]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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For 11 and 12. Choose the letter of the correct answer
11
Which among the sets is open?
[0,1)
{0,...,1/n,...,1/3,1/2,1}
R\[a,b]
None of the above.
12
Consider the following families of sets
indexed by the set of natural numbers.
Which among these is closed?
NA_n where A_n=(0,1+1/n)
NB_n where B_n=[0,1+1/n)
Uc_n where C_n= [(2n+1)/n, 3]
None of the above
Transcribed Image Text:11 Which among the sets is open? [0,1) {0,...,1/n,...,1/3,1/2,1} R\[a,b] None of the above. 12 Consider the following families of sets indexed by the set of natural numbers. Which among these is closed? NA_n where A_n=(0,1+1/n) NB_n where B_n=[0,1+1/n) Uc_n where C_n= [(2n+1)/n, 3] None of the above
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