(b) Prove that (un)neN converges and the limit is √5. Make sure you clearly state any theorem you invoke to establish this proof.
(b) Prove that (un)neN converges and the limit is √5. Make sure you clearly state any theorem you invoke to establish this proof.
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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Transcribed Image Text:3. Let u₁> √5 and define u2, U3, U4,... by the formula
Un+1 =
1
2
(un + -).
Un
Transcribed Image Text:(b) Prove that (un)neN converges and the limit is √5. Make sure you clearly state any theorem you invoke to establish this proof.
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