.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

>>7
Yeah, >>6 is a bollocks way of explaining it, but not a bad way of thinking about it. If 0.999... and 1 are two distinct real numbers, then there must exist a number x that is their difference. But since 0.999... + x is greater than 1, no matter how small x is, we conclude "obvious bullshit".