Can you please remind me what the question is, that you're looking for an answer to?
And can you please provide a link to an explanation of what Eliezer's Lifespan Dilemma is?
http://lesswrong.com/lw/17h/the_lifespan_dilemma/
If you read the article and the comments, you will see that no one really gave an answer.
As far as I can see, it absolutely requires either a bounded utility function (which Eliezer would consider scope insensitivity), or it requires accepting an indefinitely small probability of something extremely good (e.g. Pascal's Wager).
It has been claimed on this site that the fundamental question of rationality is "What do you believe, and why do you believe it?".
A good question it is, but I claim there is another of equal importance. I ask you, Less Wrong...
What are you doing?
And why are you doing it?