Find the supremum and infimum of each of the following sets. (a) A = {1, }. } ...} = {zin€N} 1 1 1 2 4 8 2(n-1) (b) C = {ncosnT :n e N} (c) E =D {¥프 :nEN} (d) D= {(1– (-1)")" : n E N}
Find the supremum and infimum of each of the following sets. (a) A = {1, }. } ...} = {zin€N} 1 1 1 2 4 8 2(n-1) (b) C = {ncosnT :n e N} (c) E =D {¥프 :nEN} (d) D= {(1– (-1)")" : n E N}
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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Transcribed Image Text:4. Find the supremum and infimum of each of the following sets.
(a) A = {1, },}, .. } ={ineN}
1 1 1
:n E N
%3D
2(n-1)
(b) С —
{ncosnt :n € N}
(с) Е %—D
= {2+" : n € N}
(d) D= {(1– (-1)")" : n E N}
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