Only need part(c), thank you! Suppose there exists No such that sn S tn for all n > No.(a) Prove that if lim sn= +00, then lim tn= +0.(b) Prove that if lim tn = -∞, then lim sn = -0.(c) Prove that if lim sn and lim tn exist, then lim sn < lim tn.

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Answered: Suppose there exists No such that sn <…

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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Suppose there exists No such that sn < tn for all n > No. (a) Prove that if lim sn +00, then lim tn (b) Prove that if lim tn then lim sn -0. (c) Prove that if lim sn and lim tn exist, then lim sn < lim tn.