Let a,>l, casider the sequence fany generated os anti = an fa) sha that Lim a- 4 where Ø= Ifus a l.618... (b) Explain why this means we can $ = It write a cantinud fruction ...

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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part B only

Let a,>l,cauyiden the sequeuce fany generateð os
anti'
an
where Ø= Itus a l.b18...
fa) shar that Lim an
2
write
(b) Explain why this meeus we can
a continud freuction
It .
...
Transcribed Image Text:Let a,>l,cauyiden the sequeuce fany generateð os anti' an where Ø= Itus a l.b18... fa) shar that Lim an 2 write (b) Explain why this meeus we can a continud freuction It . ...
Expert Solution
Step 1

Consider the sequence an.

Where an+1=1+1an 1   and value of a1=1 (given)

Also lim ann=ϕ 2

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