Inverse Fourier Transform of \(2\pi\delta \left( {\omega - {\omega _o}} \right)\) is

1
\(\frac{{2\pi }}{{{e^{j{\omega _o}t}}}}\)
2
\({e^{j{\omega _o}t}}\)
3
\(\frac{{{e^{j{\omega _o}t}}}}{{2\pi }}\)
4
\(2\pi {e^{j\pi t}}\)

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