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The driving point impedance $Z(s)$ for the circuit shown below is

  1. $\frac{s^4+3s^2+1}{s^3+2s}$
  2. $\frac{s^4+2s^2+1}{s^2+2}$
  3. $\frac{s^2+1}{s^4+s^2+1}$
  4. $\frac{s^3+1}{s^4+s^2+1}$
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