Find the value of `9^(1/3), 9^(1/9). 9^(1/27)...up` to `oo.`

Options

A. 9
B. 3
C. 1
D. None of these

Explanation

`9 ^(1//3) xx9 ^(1//9) xx 9 ^(1//27) xx"........"oo = ( 9) ^([ (1)/( 3) + ( 1)/( 9) + ( 1)/( 27)+"...."oo]) = 9 ^((1)/( 3) ((1)/( 1-1//3))) = 9^(1//2) = 3 `