The limit of f(x) as x approaches either ∞ or −∞ is zero.
By “possibility of negative and positive infinite utility”, I meant there is a non-null probability of a negative or positive utility with arbitrarily large magnitude. I think infinite is often used as meaning arbitrarily large, but I see now that Michael was not using it that way. Sorry for my confusion, and thanks for clarifying!
Moreover, if the first sentence I quoted from your comment were true, there would be no way for the second sentence to be true.
I agree. In the 1st sentence, “infinite” was supposed to mean “arbitrarily large” (in which case the 2nd sentence would be true).
Hi Fermi,
By “possibility of negative and positive infinite utility”, I meant there is a non-null probability of a negative or positive utility with arbitrarily large magnitude. I think infinite is often used as meaning arbitrarily large, but I see now that Michael was not using it that way. Sorry for my confusion, and thanks for clarifying!
I agree. In the 1st sentence, “infinite” was supposed to mean “arbitrarily large” (in which case the 2nd sentence would be true).