Nobody here gets it. There obviously is a limit, let me prove it by contradiction:
Assume it is normal to play Pokemon at 240
There is no person alive at that age. =>
Nobody plays Pokemon at 240.
And I bet they have a great reason.
Therefore, there is an age N, where N≤240, and N+ year olds are not supposed to play Pokemon.
Therefore, all your theories about there being no limit have collapsed.
I totally agree with you. :D
& Really - Who cares what age you are? As long as you enjoy it!