reply to post by cucuto89
Eh, it gets a little mushy in the brain when you try to visualize infinities. I never let it go that far when I had to learn these concepts.
Just understand this:
They are always moving and growing.
1/infinity = 0
.999... = 1
Don't visualize why, or how you can mess with inifinities. You can't anyway. What you are seeing is just a representation of a theoretical
number/idea.
All the other stuff is correct though:
.999... * 10 is 9.999... which is 10.
9.999... x 2 = 19.999999999999 = 20
It goes on.
The best way to view infinities is with limits.
Limits
f(x)=1/x
image source: http://www.coolmath.com/images/onex2.gif
1/x = 0
It is constantly getting closer to 0, it never technically reaches, but it comes so close that it doesn't exist anymore.
