For o zazb, we consider the sequences (Un) and (vn) defined by Sunt₁ = √unda lo za 120+₁ = 2 (Un+ √n) No zb a) show that for every b) Show that the above two sequences Converges and have the same limit. 2, Vn7 un Un

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise
we consider the sequences
T
For olab
(Un) and (vn) defined by
&
Unt₁ =√ Unda
Y₁+₁ = 2 (Un+ √n) No zb
Uo za
a) show that for every n, Vn7, Un
b) Show that the above two sequences Converges
and have the same limit.
Transcribed Image Text:Exercise we consider the sequences T For olab (Un) and (vn) defined by & Unt₁ =√ Unda Y₁+₁ = 2 (Un+ √n) No zb Uo za a) show that for every n, Vn7, Un b) Show that the above two sequences Converges and have the same limit.
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