This is probably the biggest riddle in the life of a Calculus student. But not to worry, I have found the solution to this quest. [And then typed it out, printed it up and put it in the BLACK BOX instead of e-mail it to us. Sigh. — PhatEd] It is clear that we can define a human's life by the experiences the human experiences. Moreover, the more experiences you get, the richer your life becomes. Therefore, we can write life in terms of improper infinite series [Life is infinite? Man that could be boring — PhatEd] such that
limN—>∞ Σan for n = 0 to N.
Where n = 0 symbolizes the number of your experiences at birth, and an symbolizes any given experience at n. At first, it would seem as if this series diverged, because the limit as n approaches infinity of an does not go to zero (since an experience adds up to another one, making your life richer), by the divergence test. Implying that life goes on forever because we will always be able to add an experience to a previous one, which will imply re-incarnation. Now, as far as it can be proven by scientific method, re-incarnation does not exist. [My fingers are getting tired, and I saw re-incarnation walking around just the other day — PhatEd] (I believe in re-incarnation, thus making me not a true scientist). Which then implies that by observation, not by a theorem, there is a point at which we cannot add experience to our lives because life in the human body will cease, therefore prohibiting us from having more experiences. Therefore, at the moment of death, the integral of an from N + 1 to ∞ is equal to zero. Which then proves (by observation) that life Converges.
This is certainly a shady [slim? — PhatEd] topic, because if you believe in an afterlife, then it would be clear that life diverged, but if you were a true scientist, life would converge.
I hope this helps in solving you own personal quest about whether life converges or diverges.