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(b) From part (a), we know that lim an exists. Compute it. n00

(b) From part (a), we know that lim an exists. Compute it. n00

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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(b) From part (a), we know that lim an exists. Compute it. n→∞
Transcribed Image Text:(b) From part (a), we know that lim an exists. Compute it. n→∞
4. Consider a sequence aj = 3 and an+1 = v V12 + an for each n > 1. (a) by 4. Show by induction that {an} is monotone increasing and bounded above
Transcribed Image Text:4. Consider a sequence aj = 3 and an+1 = v V12 + an for each n > 1. (a) by 4. Show by induction that {an} is monotone increasing and bounded above
Expert Solution
Step 1

Given that a1=3 and an+1=12+an for each n≥1

Also, the sequence an is monotonic increasing and bounded above by 4.

This implies that the sequence an is convergent. Also, the sequence is the sequence of positive terms.

The objective is to find limn→∞an

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