Answered: 1. Prove the following statement.If…

1. Prove the following statement.If (rn), (sn), (tn) are sequences of real numbers such that8n 2 N; rn sn tn and limn!1rn = limn!1tn = s 2 R;thenlimn!1sn = s

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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Question

1. Prove the following statement.
If (rn), (sn), (tn) are sequences of real numbers such that
8n 2 N; rn sn tn and limn!1
rn = limn!1
tn = s 2 R;
then
limn!1
sn = s

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