1. Let a₁ = a +3 and an+1 = a + ß-a, n=1,2,..., a>ß > 0. an for all n 1, 2, ... an+1-3n+1 an-Bn i) Show that an = ii) Determine limn→∞ an. iii) Discuss the case a = 3.
1. Let a₁ = a +3 and an+1 = a + ß-a, n=1,2,..., a>ß > 0. an for all n 1, 2, ... an+1-3n+1 an-Bn i) Show that an = ii) Determine limn→∞ an. iii) Discuss the case a = 3.
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:Question:
1. Let a₁ = a +3 and an+1 = a +3-a, n=1,2,..., a > B>0.
αβ
an+1 gn+1
an-Bn
i) Show that an =
ii) Determine limn→∞ an.
iii) Discuss the case a = 3.
an
for all n 1, 2, ...
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