What is the Fourier transform of x(t) = e-2|t| sgn(t)

1
\(\frac{{ - j2\omega }}{{{\omega ^2} + 4}}\)
2
\(\frac{{j2\omega }}{{{\omega ^2} + 4}}\)
3
\(\frac{{ - j\omega }}{{{\omega ^2} + 4}}\)
4
\(\frac{{j2}}{{{\omega ^2} + 4}}\)

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