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9-9-




Question Number 194343 by BaliramKumar last updated on 04/Jul/23
⌊9.9^− ⌋ = ?
$$\lfloor\mathrm{9}.\overset{−} {\mathrm{9}}\rfloor\:=\:? \\ $$
Answered by MM42 last updated on 04/Jul/23
9
$$\mathrm{9} \\ $$
Answered by SajaRashki last updated on 04/Jul/23
10
$$\mathrm{10} \\ $$
Answered by Tinku Tara last updated on 05/Jul/23
9.9^− =9+(9/(10))+(9/(10^2 ))+...  =(9/(1−(1/(10))))=10
$$\mathrm{9}.\overset{−} {\mathrm{9}}=\mathrm{9}+\frac{\mathrm{9}}{\mathrm{10}}+\frac{\mathrm{9}}{\mathrm{10}^{\mathrm{2}} }+… \\ $$$$=\frac{\mathrm{9}}{\mathrm{1}−\frac{\mathrm{1}}{\mathrm{10}}}=\mathrm{10} \\ $$

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