a) Prove that for 0 ? a b and any integers n ? 1, we have bn ((n+1) a -nb) < an+1 Hint:
Question: Problem 3
a) Prove that for 0 ≤ a 
b and any integers n ≥ 1, we have
bn ((n+1) a –nb) < an+1
Hint: prove first that
< (n+1) bn
b) Define now
an = 
Use a = 1 + 
and b = 1 + 
to show that an is increasing.
c) Use a = 1 and b = 1 + 
to show that an is bounded from above (Hint:
Note that an is increasing, so an ≤ a2n for all n ≥ 1)
d) Conclude that an is convergent
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Solution: The solution consists of 3 pages
Deliverables: Word Document
Deliverables: Word Document
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