Define {an} by a₁ = 1111 and Show that |an – √5| ≤ |an-1 - √5] for all n ≥ 2 where ☀ is the golden ratio - Hence prove by epsilon-delta that limn→∞an = √5 an+1 an +5 an+1 = for n ≥ 1
Define {an} by a₁ = 1111 and Show that |an – √5| ≤ |an-1 - √5] for all n ≥ 2 where ☀ is the golden ratio - Hence prove by epsilon-delta that limn→∞an = √5 an+1 an +5 an+1 = for n ≥ 1
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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![Advanced Math
Define {an} by a₁ = 1111 and an+1
an+5 for n ≥1
an+1
Show that an - √5| ≤ 1|an-1 - √5] for all n ≥ 2 where ☀ is the golden ratio
Hence prove by epsilon-delta that limn→∞an = √√5
=
Prove inequality then use epsilon-delta definition
to prove the limit.
e and logarithmic function is prohibited.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13208dfc-6768-4a76-8aab-4a6fbb561297%2F37856af5-b945-460e-ac63-503a585f3b55%2F41vrwh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Advanced Math
Define {an} by a₁ = 1111 and an+1
an+5 for n ≥1
an+1
Show that an - √5| ≤ 1|an-1 - √5] for all n ≥ 2 where ☀ is the golden ratio
Hence prove by epsilon-delta that limn→∞an = √√5
=
Prove inequality then use epsilon-delta definition
to prove the limit.
e and logarithmic function is prohibited.
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