If f(x) = (1)/( 2^n) when (1)/( 2^(n+1)...

If `f(x) = (1)/( 2^n) ` when `(1)/( 2^(n+1) ) lt x le (1)/( 2^n) , n= 0,1,2…` then `"lt"_(n to oo) int_(t//2^n) ^(1) f(x) dx` equals

`1/3`

`2/3`

`0`

`1/2`

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