Question

The repeating decimal 0.99999… converges to .

Answer 1

If you are talking about rounding, then 0.999... is closest to 1.

Answer 2

The repeating decimal .99999 is equal to 1.

This can be proven by doing the following math

$1 = 1\\1= (1/3)*3\\1= (.3333333)*3\\1=.9999999$