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The $\text{3-dB}$ bandwidth of the low-pass signal $e^{-t} u(t)$, where $u(t)$ is the unit step function, is given by

1. $\frac{1}{2 \pi} \mathrm{Hz}$
2. $\frac{1}{2 \pi} \sqrt{\sqrt{2}-1} \mathrm{~Hz}$
3. $\infty$
4. $1 \mathrm{~Hz}$