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The signal $x(t) = (t-1)^{2}u(t-1),$ where $u(t)$ is the unit-step function, has the Laplace transform $X(s).$ The value of $X(1)$ is ________

  1. $\frac{1}{e}$
  2. $\frac{2}{e}$
  3. $2e$
  4. $e^{2}$
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