I am trying to show given f(x)=(sinax)/x, a>0
that the transform is 0, |k|>a
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?