So this is a very simple question that I am having some trouble figuring out:
Let s(t) be a finite energy signal with Fourier Transform S(w).
Show that \lim_{w \to \infty } S(w) = 0
We know by defintion that the FT of this signal is \ints(t)e^{-jwt}dt and also that ∫|s(t)|2dt < ∞.
I'm a...