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I don't think you can determine maximum age if you don't have the last ring.
You could determine minimum age by assuming the tree is circular and the rings are regular. For timber trees, this is a fair assumption, because they chose straight trunks for long, straight timber.
Edit: maybe a process like carbon dating could give you an age at death. Carbon-14 dating only works for stuff at least 500 years old or so, and for trees you still need the outer rings, so that specific process wouldn't be useful here.