(In reply to
Solution (spoiler) by JayDeeKay)
Does this proof show that the sum actually reaches Apery's constant? Even if it never exceeded, say, .12, the formula would still satisfy the inequalities.
If values of, say, .1202 were shown, that would be somewhat convincing that Apery's number could be achieved, perhaps only as a limit, perhaps as an achievable value for some finite real value of x.

Posted by Charlie
on 20181031 11:26:41 