7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n) cR, what is the supremum and infimum of S=UA_n (union of all A_n's)?* inf S= 0, sup S = 1 inf S = 1, sup S = 1 O inf S = 0, sup S = 2 O inf S and sup S do not exist none of the above 8 For question, 7, what is the minimum and maximum for the union of the intervals A_n's? *
7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n) cR, what is the supremum and infimum of S=UA_n (union of all A_n's)?* inf S= 0, sup S = 1 inf S = 1, sup S = 1 O inf S = 0, sup S = 2 O inf S and sup S do not exist none of the above 8 For question, 7, what is the minimum and maximum for the union of the intervals A_n's? *
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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ANSWER NUMBER 8 ONLY
Transcribed Image Text:7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n) cR, what is the
supremum and infimum of S=UA_n (union of all A_n's)? *
inf S= 0, sup S = 1
inf S = 1, sup S = 1
O inf S = 0, sup S = 2
O inf S and sup S do not exist
none of the above
8 For question, 7, what is the minimum and maximum for the union of the intervals A n's?*
min S d.n.e, max S =1
min S = 1, max S = d.n.e.
min S= 0, max S = 2
min S and max S do not exist
None of the above
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