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Show that the product [1+(1+i)/2][1+((1+...

Show that the product `[1+(1+i)/2][1+((1+i)/2)^2][1+((1+i)/2)^(2^2)]...[1+((1+i)/2)^(2^n)]` is equal to `(1-1/2^(2^n))(1+i)`

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