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Find the period of f(x)=sinx+tanx/2+sinx...

Find the period of `f(x)=sinx+tanx/2+sinx/(2^2)+t a n x/(2^3)+....+sinx/(2^(n-1))+tanx/(2^n)`

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The correct Answer is:
period of f(x) is `2^(n)pi`
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