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Answer :
Let,
x = 0.9999.... (i)
multiplying by eq. (i) by 10 , we get,
10 x = 9.9999......(ii)
On subtracting Eq. (ii) from Eq. (i), we get
(10 x – x) = (9.99999…) – (0.99999…)
\(\Rightarrow \) 9x = 9
\(\Rightarrow \) x = 1
Yes I m surprised
0.9999999..... = 1 because it is extremely closed by 1