Q1. (a) Let A = {x €R : r3 + x < 1}. Show that the set A is bounded above. If a = sup A, then show that a3 + a = 1.
Q1. (a) Let A = {x €R : r3 + x < 1}. Show that the set A is bounded above. If a = sup A, then show that a3 + a = 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q1. (a) Let A = {x € R : x³ + x < 1}. Show that the set A is bounded above. If a =
sup A, then
show that a3 + a = 1.
(1
(b) Let a, = 1 and an+1 =
(-1)"
|an, for n E N. Show that the sequence (an) is convergent.
2n
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