1. Let S= {2n15 :n€ N} (i) Find the infimum of S and justify your claim. (ii) Find the supremum of S and justify your claim.
1. Let S= {2n15 :n€ N} (i) Find the infimum of S and justify your claim. (ii) Find the supremum of S and justify your claim.
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:1. Let S = {2n+5 : n € N}
(i) Find the infimum of S and justify your claim.
(ii) Find the supremum of S and justify your claim.
2. Prove that for any set S, the
inf(S) = -sup(-S),
where -S = {-s : s € S}.
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