Let S = { /12 - 2/2 | n € N₁m = N} (considered as a subset of R). N, n m (a) Prove that sup S = 1. (b) Is 1 € s? (c) Does S have an infimum? If so, what is it?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. Let S =
= (-/-/²2/12 · | n ≤ N, m € N} (considered as a subset of R).
n
m
(a) Prove that sup S = 1.
(b) Is 1 € s?
(c) Does S have an infimum? If so, what is it?
Transcribed Image Text:2. Let S = = (-/-/²2/12 · | n ≤ N, m € N} (considered as a subset of R). n m (a) Prove that sup S = 1. (b) Is 1 € s? (c) Does S have an infimum? If so, what is it?
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