05/03/2009, 10:42 PM

(04/13/2009, 05:01 PM)bo198214 Wrote:andydude Wrote: for all by lemma (4) and lemma (5).

... In the limit, the squeeze theorem and completeness should guarantee that the limit exists and converges to .

Is this right?

I dont think so. When the sequence is decreasing and bounded it has a limit. But this limit could be probably bigger than . Or did I overlook something?

for all

so the limit must be eta when lim k = oo because the rule is < and not =< , i think bo has overlooked that !?!

or did i miss something ?