Is my solution to the DTFT of a delta function correct? I am newer to signal processing math and just figured out something cool (hopefully). I was trying to see how the DTFT of the delta function is 1, because thats what my book says. I could only find youtube tutorials that didnt really explain it mathmatically, so i tried to do it on my own. Is my process correct? See pic.
Thanks!
-Dom
You are absolutely correct.  For more cool, calculate the DTFT of $\delta \left(n - k \right)$.