0*infinity=(0+0+0+0...)=0 (x+0=x x=0)
1=0.999... (agreed) 1-0.999...=0
(type 1) 1-0.999...=(1/10)*(1/10)*(1/10)... (from division by 10, 1-0.9 etc)
ab=0 if a or b=0; 1/10=0 ;10*1/10=10*0 ;1=0 ;x*1=x*0 ;x=0
(type 2) (1/10)*(1/10)*(1/10) ...=(1/10)^infinity=1/infinity=0
1/infinity=0 then 0*infinity=1 bu 0*infinity=0 ;1=0 ;x*1=x*0; x=0
Every number equals zero .(by 1=0.999...)
Name:
Anonymous2007-03-22 5:02 ID:W9EMSI7l
numbers are just made up ways to measure things so y care
Note that 1/Infinity is not equivalent to Infinity*0 . If the second were true, it would have to be true for every x, and, by transitivity of the equals relation, all numbers would be equal. This is what is meant by being undefined, or indeterminate.
Straight from the same Wikipedia page. Way to go, OP.