.9999... = 1 :D

so i waz reading this book on diff geomatry and look what it said

"evry numbr t 0<t<=1 can be representd by an infinte decimal (even 1 :O) t = 0,c1c2...cn...

fr exampol 1/8=0.125=0.1249999... k let cn1, cn2 be non-vnishing digitz

the image point t is point 0< x1,x2 <=1

x1=0.c1...cn1cn2+1...cn3... , x2=0.cn1+1...cn3cn3+1... so maping is 1to1

for example x1=0.04601..., x2=0.7000302... has inverse image t=0.047600030102... but im not sure i follow where t cumz from it doesnt seem to follow its patern earlier? can anyone break the digits t down into the corresponding cns and stufs? thx

>>6
I think the problem with that argument is that the normal rules for carrying digits in addition don't really apply.

0.999... + 0.000...1 doesn't necessarily add up to 1 because you can't assume that carrying digits to get the right answer will hold true. Maybe I'm full of shit here. Anyone care to back me up?