03-10-2009, 02:00 PM
zdunklee Wrote:Allyson Wrote:1 = 1
{1/1 + 1/1 + 1/1 + ...} = {9/10 +99/100 +999/1000 + ...}
{1/1 - 9/10 + 1/1 - 99/100 + 1/1 - 999/1000 + ...} = 0
{1/10 + 1/10 + 1/1000 + ...} = 0?
Oops, I effed up my sequences... they aren't added they simply are
1 = lim {1,1,1,...} and 1= lim {0,9/10, 99/100, 999/1000,...) if you add them they get infinitly bigger...1+1+1+!... = infinity..sorry for the confusion there, I am an ambulance driver for that one.
You can now however subtract the two correct sequences to get:
1 - 1 = 0
lim {1-0, 1-9/10, 1-99/10,...} = 0.
I knew you miswrote I just couldn't figure out what you meant. I perfectly get what you're saying, I just don't agree with the rule that .999... = 1 because in my head it doesn't, it equals .999... It's kind of like identical twins. They are essentially the same, same genetic makeup and all, but they are not the same person.
That's what she said.