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The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as

$$\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$$

The range of $K$ for which the system is stable is

  1. $-2.0<K<0.5$
  2. $0<K<0.5$
  3. $0<K<\infty$
  4. $0.5<K<\infty$
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