1. Suppose that (a) and (b) are sequences with |a₁|≤ K |b₂| for all n, where K > 0,nand lim b =nn1x= 0. Prove directly from the definition of limit that lim a = 0.nn→∞

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Answered: 1. Suppose that (a) and (b) are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1. Suppose that (a) and (b) are sequences with a ≤ K|b₂| for all n, where K > 0, and limb = = 0. Prove directly from the definition of limit that lim a = 0. n nx n→∞