no, he's jumping half the distance from himself to the wall each time. so the first time he was 4 inches form the wall, and he jumped 2 inches. now he's 2 inches from the wall and jumped 1 inch. no he's 1 inch from teh wall and jumped half an inch, so on and so forth. he will keep getting half as close to the wall as he is but never actually touching it

actually, we did a problem like this in calculus, eventually the frog would reach the end it would just take fucking forever

I think what Stargate is trying to say is that because asymptotes really only work if the point is infinitely small like in a graph. A frog has a length of like, a couple of inches so if it reaches around 2 inches of distance from the wall it touches it!

But that's completely ruining the joke.

Except I'd be willing to bet that there is a minimum distance for the movement to be called a "jump" not to mention the frog actually has to be able to jump such a small distance..so in reality the frog would eventually reach the wall. Mathematically he's fucked, but in reality he'll get there eventually.

actually...
he will kind of touch the wall because of the way we define it.
right now if you are sitting in a chair you are really not in direct contact with it you are actually hovering over it because of that the atoms do this kind of wibly wobly magnet shit and they wont fucking touch eachother. so yeah eventually the frog will feel his nose against the wall.

I suddenly feel horribly unsteady sitting on this chair now..

why are quantum physicists so bad at sex?
because when they find the right position, they can't find the right momentum and vice versa...