It should be with respect to the space we consider. Since the function is imaginary, limit also can be imaginary.
https://www.physicsforums.com/threads/can-the-limits-of-a-function-be-imaginary.390073/
If we have to calculate derivative for that function then ND(not defined) would be the answer because we can calculate derivative only in domain of particular function.
But there is no problem in calculating limits of imaginary functions , limit would be imaginary too.
http://nptel.ac.in/courses/111107056/6
64.3k questions
77.9k answers
244k comments
80.0k users