.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

YOU FOOLS

The sign '=' means the number on one side is excatly the same in value as the number on the other.

So, 0.999... by definition is lower than one, therfore

0.999... does not equal 1