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If f(x) = x^3 + 3x^2 + 6x + 2 sin x, the...

If f(x) = `x^3 + 3x^2 + 6x + 2 sin x`, then the equation `1/(x-f(1)) + 2/(x-f(2)) + 3/(x-f(3)) = 0` has number of real roots of the equation ?

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