05/03/2009, 10:51 PM
(05/03/2009, 10:42 PM)tommy1729 Wrote: \( \eta < \text{srt}_{k+1}({k+1}) < \text{srt}_k(k) \) for all \( k \ge 5 \)
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 ?
yes, take a similar example:
\( -1 < \frac{1}{k+1} < \frac{1}{k} \)
by your argumentation \( \lim_{k\to\infty} \frac{1}{k} = -1 \).