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Which of the following statements is true about the two sided Laplace transform?

  1. It exists for every signal that may or may not have a Fourier transform.
  2. It has no poles for any bounded signal that is non-zero only inside a finite time interval.
  3. The number of finite poles and finite zeroes must be equal.
  4. If a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.
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