This by far is a good question. A question so good that it gained my urge to join the forum, in which normally i do not do such things. My name is Alex and i currently reside in florida. I am thankfull for the opportunity to have an open discussion as this.
According to the "tree" as it is written according to "And Jehovah God planted a garden eastward, in Eden; and there he put the man whom he had formed. 9 And out of the ground made Jehovah God to grow every tree that is pleasant to the sight, and good for food; the tree of life also in the midst of the garden, and the tree of the knowledge of good and evil." Gen 2:8-9 (ASV)"
From another translation: " 8 And the LORD God planted a garden eastward in Eden; and there he put the man whom he had formed. 9 And out of the ground made the LORD God to grow every tree that is pleasant to the sight, and good for food; the tree of life also in the midst of the garden, and the tree of knowledge of good and evil." Gen 2:8-9 (KJV)
In the NWT of the HS, it does indicate that it was a tree of life.
My personal belief is that the object formed which gave the fruit of "life" or "knowledge" was not to be eaten from, otherwise "you will positively die" NWT: Gen 2:16-17.
No other indication of death has ever followed other than eating of the fruit of the tree.
Now: " 4 And God shall wipe away all tears from their eyes; and there shall be no more death, neither sorrow, nor crying, neither shall there be any more pain: for the former things are passed away."
Rev 21:4 (KJV)
To summarize, according to any bible translation, or most any how, if Adam & Eve were to not have eaten of the fruit of the tree, death would have never come; therefore life as for humans would have no end.