Print

Please login or register.
1 Hour 1 Day 1 Week 1 Month Forever
Login with username, password and session length

[King Zultan]

500 error

Are they getting worse or is it because it's happening?

[lemon10]

As such, the chance of a random integer between 1 and infinity is indeed 0⁺, a chance so low, that it might as well be 0, but not actually 0.

No, no, it's actually 0. From 0 to X it's proportional to 1/log(X), but "at infinity" it's 0, actually, factually 0. The density of the primes in the integers is 0, in other words. Not 0 with caveats.

There is no uniform distribution over the even integers, yes. But in any range from 0 to N, the proportion's going to be about 0.5; it never really leaves the vicinity of 0.5, and in fact stays closer and closer as N increases, so it approaches 0.5 as it approaches infinity, so (as it goes) it's 0.5.

I've never been the best person with infinity stuff, but I'm pretty sure that infinity divided by infinity is indeterminate, not zero, so you can't get an actual number out of the question at all.
Now the limit as x approaches infinity? Yeah, that's totally zero, but that's a different kettle of fish.