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The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is

  1. $F(S) = \frac{1}{1+e^{-sT/2}} \\$
  2. $F(S) =\frac{1}{s(1+e^{-sT/2})} \\$
  3. $F(S) = \frac{1}{s(1-e^{-sT})} \\$
  4. $F(S) = \frac{1}{1-e^{-sT}}$
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