the question in this link:

http://img135.imageshack.us/img135/7662/60430495yx6.gif

i only know that these series are bounded

so i know that that there is at least one sub sequence which converges to

one of the bounds of each sequence

which gives me nothing because if it were converges

then i could transform lim inf An ==> lim An

because every sub sequence converges to the same limit which is the

main limit of the sequence.

what to do here?