If S is a non-empty subset of R which is bounded below, then a real number t is the infimum of S iff the following. two conditions hold : (i) x2t VxE S. (ii) Given any ɛ> 0, 3 some x e S such that x
If S is a non-empty subset of R which is bounded below, then a real number t is the infimum of S iff the following. two conditions hold : (i) x2t VxE S. (ii) Given any ɛ> 0, 3 some x e S such that x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1RQ
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Transcribed Image Text:If S is a non-empty subset of R which is bounded below,
then a real number t is the infimunm of S iff the followving two conditions hold :
(i) x2t V x e S.
(ii) Given any ɛ> 0, 3 some x E S such that x<t+ E.
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