Fruiting or non-fruiting lime trees

Fruiting or non-fruiting lime trees

I know (well, I've been told) that it is possible to have a non-fruiting LIME tree, so I'm wondering if anyone can tell me how many years of "growth" (without fruit) I should allow before I decide *my lime-tree is obviously never going to bear fruit* and pull it out of the ground to replace it. It's just that I see no point in watering and nurturing a tree (for now three years, and it's 5 foot tall) if it's never going to bear fruit. Thanks heaps :o)
My landlords didn’t work out

My landlords didn’t work out

CRAP!

CRAP!

The strange year continues.

The strange year continues.

violas

violas

Macro

Macro

*very possibly* my future home!

*very possibly* my future home!