I'm dealing with the following question :
The system realizes an accumulator, therefore its impulse response (h[n]) is just the unit step function multiplied by some factor . In the next subsections , I'm asked to provide an answer in terms of X(ejw ) meaning I have to assume that the system is stable but it is obvious that a regular step impulse response represents an unstable system, how can this contradiction be settled to solve this question or perhaps there is something inherently inconsistent with the details provided . Thanks a lot for the help !