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If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0...

If `alpha=e^(i2pi//7)a n df(x)=a_0+sum_(k=0)^(20)a_k x^k ,` then prove that the value of `f(x)+f(alpha x)+....+f(alpha^6x)` is independent of `alphadot`

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