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7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n ) c R, what is the %3D supremum and infimum of S=UA_n (union of allA_n's)?* :O inf S = 0, sup S= 1 inf S = 1, sup S = 1 inf S = 0, sup S = 2 O inf S and sup S do not exist O none of the above 8 For auestion, 7, what is the minimum and maximum for the union of the intervals A_n's?* O min S d.ne, max S = 1 O min S = 1, max S = d.ne.

7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n ) c R, what is the %3D supremum and infimum of S=UA_n (union of allA_n's)?* :O inf S = 0, sup S= 1 inf S = 1, sup S = 1 inf S = 0, sup S = 2 O inf S and sup S do not exist O none of the above 8 For auestion, 7, what is the minimum and maximum for the union of the intervals A_n's?* O min S d.ne, max S = 1 O min S = 1, max S = d.ne.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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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
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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