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Let f:R->R, such that f(x)=2x+[(x(x^2-1)...

Let `f:R->R,` such that `f(x)=2x+[(x(x^2-1))/(4(x^4-x^2+1))+1/8]+[x]+sinx cosx` then (where [.] denotes the greatest integer function) `f` is one-one onto

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