This following question was motivated by this question, though many of similar nature can be found throughout MO.
The Problem: The question asks whether any bound exist on an expression, and conjectures what it might be. An answer partially disproves the conjecture, i.e, only part of it. Now, and for all future viewers, the question still contains the now known-to-be-wrong conjecture.
EDIT - CLARIFICATION
I don't think that the question or the answer are bad, or counterproductive. I only think that it is not clear that although the answer is helpful for the OP and is interesting for anyone else, there's still half of the OP question unanswered. My Question, therefore, is how to make it more visible, so that other people will try to answer it?