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The loop transfer function L(S) of a single-feedback-loop control system is given below. Sketch the Nyquist plot of L(jw) for w=0 to w=infinity, Determine the stability of the closed-loop system. Solve for the intersect of L(jw) on the negative real axis of the L(jw)-plane analytically.

L(S) = 20/[s(1 + 0.1s)(1 + 0.5s)]

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