Take a look at this series of equations:
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
0.999... = 1
"999..." means infinity of digit "9".
Is there any mistake or does that mean that 0.999... really equals 1? If so, is there any point in using 0.999...?
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
0.999... = 1
"999..." means infinity of digit "9".
Is there any mistake or does that mean that 0.999... really equals 1? If so, is there any point in using 0.999...?