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Unit step response of a linear time invariant $(LTI)$ system is given by $y(t) = (1 – e^{-2t})u(t)$. Assuming zero initial condition, the transfer function of the system is

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