I need question 2 and 3 please do as soon as possible and mention the correct answers In problems 1 - 5, determine if the sequence is bounded. If so, is it convergent? Find themagnitude of the ultimate value(s) of the sequence. If it is convergent, it will have a single,finite (or zero) value.(1) , = (1 - 21)2"/3"(2) 2, = nn/(21n +n-)(3) z, = (-1)"-k +1, where k is any integer.(4)2 =n2 +/(5) z, = (5 - 41)" In problems 1 – 5, choose the answer from the following choices.It is possible for an answer to be used more than once. Don't assume every answer is used.a) lim z| = 0n-00b) lim |z,] = 1.40496n-00c) lim |zn| = 1.5708n-00d) The sequence is bounded but does not convergee) The sequence is not bounded.

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Answered: (2) , = nn/(2in +n) (3) , -(-1)"-k +1,…

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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(2) , = nn/(2in +n) (3) , -(-1)"-k +1, where k is any integer.