r1 4 13 40 (a) Find the supremum of the set S :={3; §; 27 81 }, if the supremum exists. Justify your answer. {v2, v2 – v2, / 2 – /2 – v2, ….}, if the infimum V2, x2 = V2 – x1, x3 := /2 – x2, etc, then (b) Find the infimum of the set T := ... exists. Justify your answer. [Hint: Let x1 = solve by using limits.]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2.
(a) Find the supremum of the set S :=
1 4 13 40
3' 9: 27 81
.}, if the supremum exists. Justify your
answer.
{v2, v2 – V2, V2 – /2 – v2,….}, if the infimum
V2
(b) Find the infimum of the set T :=
V2, x2 =
exists. Justify your answer. [Hint: Let x1 =
solve by using limits.]
- x1, x3 := V2 – x2, etc, then
Transcribed Image Text:Question 2. (a) Find the supremum of the set S := 1 4 13 40 3' 9: 27 81 .}, if the supremum exists. Justify your answer. {v2, v2 – V2, V2 – /2 – v2,….}, if the infimum V2 (b) Find the infimum of the set T := V2, x2 = exists. Justify your answer. [Hint: Let x1 = solve by using limits.] - x1, x3 := V2 – x2, etc, then
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