Please can i have a written stepby step working. also for this question to not be shown to others Let (an) be an increasing sequence of real numbers bounded from above and (bn)be a decreasing sequence.Prove that if in addition bn ≥ 1 for all n E N then the sequence (anb¹) isconvergent.

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Answered: Let (an) be an increasing sequence of…

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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Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing sequence. Prove that if in addition bn ≥ 1 for all n E N then the sequence (anb¹) is convergent.