Physicist frequently use infinity when talking about fields (ex. V = integral of E*dr from 0 to infinity) but if the fields were infinite, be they gravitational or electric, they would span the entire universe and all things effected by it would collapse into a single, crushing point. This has clearly not happened and is not happening. QED, infinity is not real.
sorry, for s(n = infinity)...
mhm, i've read something similar before, except that link is a little different.. and i don't quite get the point of that one. Obviously the faster runner will overtake the slower one, if neither speed up nor slow down..
The one i've heard is that A is 3 blocks behind B, B travels 1 block per A travels 3, and at each corner(?), the speed of A & B drops to 1/3 the current speed, with corners at 3, 1, 1/3, 1/9, ... so A never catches B Can you prove that there is an upper bound, given the sum of the series will forever be increasing..?