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Description: Which of the following sequences is a convergent and decreasing sequence withleast upper bound 1?b) {an}=1= {2n– 1}c) {an}=1´n+1d) {anšn=l2n2ne) {anšn=ln+

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Which of the following sequences is a convergent and decreasing sequence with least upper bound 1? b) {an}=1= {2n– 1} c) {an}=1 ´n+1 d) {anšn=l 2n 2n e) {anin=1 n+

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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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Which of the following sequences is a convergent and decreasing sequence with
least upper bound 1?
b) {an}=1= {2n– 1}
c) {an}=1
´n+1
d) {anšn=l
2n
2n
e) {anšn=l
n+

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