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Originally posted by PhysicsAdept
reply to post by Sly1one
Well, every point of space this man travels has an infinite number of points in it, so even the first 25 feet that he has walked, he has kind of already traveled an "infinite" distance of sorts.
Originally posted by PhysicsAdept
reply to post by OutKast Searcher
Ah yes, we may have erred there. I can agree with you there. Hexadecimal itself goes from 9 to A, then B, all the way up G right?
Weeeeell, no I don't think that is quite right.the limit does not approach zero. By definition, the limit is zero. the graph of y=1/x is the one that approaches zero, but as x approaches infinity, the limit approaches zero which is where I think you may be confused. IF (if) x was to equal zero, then the limit would equal zero... well at least how I see it. But because of the limit itself, it doesn't approach zero. Approaching is already in the definition of a limit, so the limit itself does equal zero. I am sure you agree with this. I understand what you are saying, really I do.
What is 1/100? .01. What is 1/1000000? .000001. What about 1/1E25? 1E-24. You can keep doing this until you reach the biggest number. The biggest number, we will regard as being not infinity but some very large number. [Don't stop reading here, this is speculation just as much of what else has been said against what I am saying ] So you have the largest number, which is smaller than infinity. You keep dividing one by that number until you get the smallest number... the point where that number cannot actually get any smaller. This is where if you were to zoom in so far that actually zooming farther would not be possible. You divide one by just one more than the largest number... perhaps zero would pop out?
But, as someone else in this thread stated previously, there is a proof to show that .9r=1.
At the very least, tell me you disagree--but admit that what I just said makes sense.
Infinity works just fine as a number, like 0 does. If 0 is considered "a number" then so should infinity. You can call it a limit if you really want to, but IMO that's semantics.