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The period of the function f(x)=sinx+tan...

The period of the function `f(x)=sinx+tan(x/2)+sin(x/4)+tan(x/8)+.......+sin(x/(2^(n-1)))+tan(x/(2^n))` is given by (i) `2pi` (ii) `2^n pi` (iii) `2^(n-1) pi` (iv) `2^(n+1) pi`

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