Euler's equation e^j?=cos?(?)+j sin?(?), is very useful not only in obtaining the rectangular and polar forms of complex numbers, but in many respects as we will explore in this problem.
Carefully plot x[n]=e^(j(pi)n) for-infinity.© BrainMass Inc. brainmass.com October 10, 2019, 4:10 am ad1c9bdddf
** Please see the attached file for the plotted illustration **
This solution describes the Euler's equation and orthogonality.