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Consider a signal defined by

$x(t)= 
= \begin{cases}
e^{j10 t} & \text{for} |t|\leq 1 \\
 0& \text{for }  |t| > 1
\end{cases}$

Its Fourier Transform is

  1. $\frac{2 \sin (\omega -10)}{\omega - 10}$
  2. $2e^{j10}\frac{ \sin (\omega -10)}{\omega - 10}$
  3. $\frac{2 \sin \omega}{\omega - 10}$
  4. $e^{j10 \omega }\frac{2 \sin\omega }{\omega }$
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