Prove for question (b) using limit theorems Suppose that (s„) and (tn) are convergent sequences withlim s, = s and lim t, = t. Then%3|b) lim (ks,) = ks and lim (k + s,) = k + s, for any k eR.

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Answered: Suppose that (Sn) and (t„) are…

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 that (Sn) and (t„) are convergent sequences with lim s, = s and lim t, = t. Then b) lim (ks,) = ks and lim (k + s,) = k+ s, for any k eR.