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The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

  1. $G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$
  2. $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)^2}$
  3. $G(s) H(s)=k \frac{1}{s(s-1)(s+2)(s+3)}$
  4. $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)}$
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