(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to show given f(x)=(sinax)/x, a>0

that the transform is 0, |k|>a

(pi/2)^1/2, |k|<a

2. Relevant equations

3. The attempt at a solution

so far i have f transform =1/(2pi)^1/2.[integral from -inf to +inf]exp[-ikx](sinax)/x.dk, i am concerned about the singularity at x =0, does this compel me to use contour integration?

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# Fourier transform f(x)=sinax/x, a>0

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