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I was just wondering
Let x = 0.99999...I did, and it relied on the statement that if you can approach something by less then any epsilon, it equals it.
But any analysist will tell you that this is only indeed true for a limit, and not for any quantity.
For example, by that reasoning an real number equals a rational number, because every epsilon interval has infinitely many rational numbers in it.
Anyone have a third opinion?
Yes, my opinion is that you had better go have a long talk with your analysis teacher.I did, and it relied on the statement that if you can approach something by less then any epsilon, it equals it.
But any analysist will tell you that this is only indeed true for a limit, and not for any quantity.
For example, by that reasoning an real number equals a rational number, because every epsilon interval has infinitely many rational numbers in it.
Anyone have a third opinion?
I think that it depends on the way you look at the expressions.Originally posted by jammieg
To me 10,000 equals 1 is I'm just considering the penny differences in price of buying 2 houses, I mean 9 and 10 are not the same number but if it's practical to simply use two 10's then same enough, incidentally this is probably why I'm not very good with math.
Originally posted by HallsofIvy
What??? Mathematicians make clumsy physicists? How dare you!
Ooops, I didn't mean to knock that cyclotron over!
Originally posted by Newton
oops, I didn't mean to completely overhaul the area of physics.