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Consider a real baseband signal $x(t)=e^{-2 t}$, for $t$ (in seconds) $\geq 0$.

If $99 \%$ of energy of $x(t)$ lies within $B \mathrm{~Hz}$, then which of the following options is TRUE for the value of ${B}?$

  1. $\mathrm{B}>1 \mathrm{~kHz}$
  2. $63 / \pi ~\mathrm{Hz}<\mathrm{B}<64 / \pi ~\mathrm{Hz}$
  3. $126 / \pi \mathrm{~Hz}<\mathrm{B}<128 / \pi ~\mathrm{Hz}$
  4. $\mathrm{B}<1 \mathrm{~Hz}$

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