RE: [Past|Present|Future] Timetravel - Hoax?
July 6, 2015 at 2:49 am
(This post was last modified: July 6, 2015 at 3:42 am by Alex K.)
That's bullshit IATIA, the series
Sum_(n=1 to inf) 9*10^-n
which is what the notation 0.999... means (and that's the most important point that requires clarification here),
has the value of exactly 1. The dots indicate that we are interested in the limiting value of the *infinite* series, which in this example has a value that no individual element of the progression can reach. That's how limits work. A better notation would be 0.9 with a bar over the 9 for repetend.
Sum_(n=1 to inf) 9*10^-n
which is what the notation 0.999... means (and that's the most important point that requires clarification here),
has the value of exactly 1. The dots indicate that we are interested in the limiting value of the *infinite* series, which in this example has a value that no individual element of the progression can reach. That's how limits work. A better notation would be 0.9 with a bar over the 9 for repetend.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
