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The unit-step response of a system starting from rest is given by
$\qquad C(t)=1-t^{-2 t} \text { for } t \geq 0$
The transfer function of the system is

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