Quote:
Valandil said:
I'm ignoring much more. That is one of Zeno's paradoxes, ancient problems of the greeks.
The problem here is actually a misunderstanding of infinites. The series is actually convergent to 1/0, not 0. I don't really want to go over the math here, but suffice to say that my conclusion is totally wrong.
|
I'm not sure what are you trying to say here. The serie obviously converges to {lead}/({speed of hare}-{speed of tortoise}) (that's obvious because it's just the gap divided by speed of gap reduction). I'm not sure if the original mentiones that hare travels faster than tortoise, but I think it's implied. So there isn't any infinities involved here. If one wants to express it through the serie, as in fable, that's a simple geometric serie and the limit was known very long time ago, not sure if the fable predates this knowledge or not.