(4) Find the supremum and infimum of each of the following sets Nπ (a) A = { {cc COS neN}. 8 2 { ( ²/₁ + (−1)" ) " : n € N}. 2 {x³-4x+2:-2

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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(c) and (d)

(4) Find the supremum and infimum of each of the following sets.
(a) A = {cos":n=N}
8
EN}.
(b) B = { ( 1²/
{ ( ² + (-¹)" ) " : n = N} .
1) n
2
COS
(c) C = {x³ - 4x + 2 : −2 < x < 3}.
4n 1 NT
(d) D =
6
ܘ}
2n + 1
sin :neN}
Transcribed Image Text:(4) Find the supremum and infimum of each of the following sets. (a) A = {cos":n=N} 8 EN}. (b) B = { ( 1²/ { ( ² + (-¹)" ) " : n = N} . 1) n 2 COS (c) C = {x³ - 4x + 2 : −2 < x < 3}. 4n 1 NT (d) D = 6 ܘ} 2n + 1 sin :neN}
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