(i) Find the infimum and supremum in each of the following sets of real numbers: S = {r| – x² + 6x - 3 > 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(i) Find the infimum and supremum in each of the following sets of real numbers:
S = {r| – x² + 6x – 3 > 0
(ii) Let a be the supremum of a set of real numbers and let & > 0 be any real number. Show that
there is at least one x € S such that
a-ε<x<α
ll
06:18 PM
2021-04-20
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1 of 1
E 1 E 3 1 90% e
Words: 0
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View L W (i) Find the infimum and supremum in each of the following sets of real numbers: S = {r| – x² + 6x – 3 > 0 (ii) Let a be the supremum of a set of real numbers and let & > 0 be any real number. Show that there is at least one x € S such that a-ε<x<α ll 06:18 PM 2021-04-20 Page: 1 of 1 E 1 E 3 1 90% e Words: 0
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