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. %3D min S = 0, max S = 2 min S and max S do not exist None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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Help me answer the questions in the photos.
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
Transcribed Image Text: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
7. Given the family of intervals F = {A_n | n E N}
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
inf S = 0, sup S = 2
inf S and sup S do not exist
none of the above
Transcribed Image Text:7. Given the family of intervals F = {A_n | n E N} 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 inf S = 0, sup S = 2 inf S and sup S do not exist none of the above
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