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- Sep 11th 2009, 08:38 AMflower3real analysis

- Sep 11th 2009, 03:59 PMTaluivren
Hi,

we can prove a) by induction:

base case: .... ....

inductive step: suppose and let's prove the statement holds for :

so the inductive step is completed and a) holds.

As for b), from a) we see that that the sequence is bounded from above by .

is the sum of first terms of a geometric progression, converges to 4/3.

So since is increasing, it is convergent. - Sep 12th 2009, 08:29 AMflower3real analysis
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