Prove that the sensitivity function (s) has magnitude greater than 1 inside a circle

Chapter 6, Problem 6.61

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Prove that the sensitivity function (s) has magnitude greater than 1 inside a circle with a radius of 1 centered at the 1 point. What does this imply about the shape of the Nyquist plot if closed-loop control is to outperform open-loop control at all frequencies?

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