Please answer fast I will rate for you sure please.... Q1:Determine whether the sequence a(n) = n*sin(1/2n) converges or diverges. If it converges, findthe limit. If it diverges, explain why.Determine whether the sequence a(n) = n!/(n^n) converges or diverges. If it converges, find thelimit. If it diverges, explain why

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Answered: Q1: Determine whether the sequence a(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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Q1: Determine whether the sequence a(n) = n*sin(1/2n) converges or diverges. If it converges, find the limit. If it diverges, explain why. Determine whether the sequence a(n) = n! /(n^n) converges or diverges. If it converges, find the limit. If it diverges, explain why