Alright I think I got it this time:
by Cesaro's mean (your sequence is ), so
Hey, thanks for the answer, there is still something unclear to me,
in order to use cesaro's mean, you assume that
exists ?
at least by Cauchy Criterion For Convergence (to my knowledge) i find that this sequence does not have a limit.
i'd appreciate further explanations (also if i got the Cauchy criterion wrong... )
Thanks and have a nice weekend