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For a positive interger n, f (n) (x) =...

For a positive interger n,
`f _(n) (x) = tan ((x)/(2)) (1 + sec x ) (1 + sec 2x) (1 + sec 4x) ...(1 + sec 2 ^(n) x)` then the value of
`f _(2) ((pi)/(16)) + f _(3) ((pi)/(32)) + f _(4) ((pi)/(64))` is equal to

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