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If f(x)=tan x+tan^2xtan2x and g(n)=sum(r...

If `f(x)=tan x+tan^2xtan2x and g(n)=sum_(r=0)^(x=k) f(2^r),` then `g(2013)-tan(2^2014)` is equal to (A) `0` (B) `tan1` (C) `-tan1` (D) 1

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