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Let 0 < an < o be a sequence of numbers. Prove that sup[0, an) n21 [0, sup an) n21 sup[0, n21 ] # [0, sup- +1 -1. n21 n+1

Let 0 < an < o be a sequence of numbers. Prove that sup[0, an) n21 [0, sup an) n21 sup[0, n21 ] # [0, sup- +1 -1. n21 n+1

Advanced Engineering Mathematics
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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11. Let 0 < an < oo be a sequence of numbers. Prove that sup[0, an) n21 [0, sup an) || n21 sup[0, n21 ] # [0, sup n+ 1 -1. n21 n+1
Transcribed Image Text:11. Let 0 < an < oo be a sequence of numbers. Prove that sup[0, an) n21 [0, sup an) || n21 sup[0, n21 ] # [0, sup n+ 1 -1. n21 n+1
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