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4. (P14, Page 34; i ) Prove that the sequence {sn} converges to 1 where {sn} is defined by 1 1 + 3- 2 1 for every index n. + (n + 1)(n) Sn = 2.1 1. 1 1 and then apply properties of convergent sequences. You can k +1* (Hint: first simplify sn by using (k + 1)k k 1 = 0 without proof.) use the fact that lim n+o n + 1

4. (P14, Page 34; i ) Prove that the sequence {sn} converges to 1 where {sn} is defined by 1 1 + 3- 2 1 for every index n. + (n + 1)(n) Sn = 2.1 1. 1 1 and then apply properties of convergent sequences. You can k +1* (Hint: first simplify sn by using (k + 1)k k 1 = 0 without proof.) use the fact that lim n+o n + 1

Advanced Engineering Mathematics
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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4. (P14, Page 34; i ) Prove that the sequence {sn} converges to 1 where {sn} is defined by 1 1 + 3- 2 1 for every index n. + (n + 1)(n) Sn = 2.1 1. (Hint: first simplify sn by using 1 1 and then apply properties of convergent sequences. You can k +1* (k + 1)k k 1 use the fact that lim = 0 without proof.) n+0 n + 1
Transcribed Image Text:4. (P14, Page 34; i ) Prove that the sequence {sn} converges to 1 where {sn} is defined by 1 1 + 3- 2 1 for every index n. + (n + 1)(n) Sn = 2.1 1. (Hint: first simplify sn by using 1 1 and then apply properties of convergent sequences. You can k +1* (k + 1)k k 1 use the fact that lim = 0 without proof.) n+0 n + 1
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