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Find the value of 9^(1/3). 9^(1/9). 9^(1...

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

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Given, `S=9^(1/3), 9^(1/9). 9^(1/27)...up` to `oo.`
`S=9^(1/3+1/9+1/27+... oo)`
`S_(oo)=(a)/(1-r)`
`a=1/3, r=1/3`
`S_(oo)=(1/3)/(1-1/3)`
`S_(oo)=(1/3)/(2/3)=1/2`
`S=9^(S_(oo))`

`S=9^(1/2)`
...
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