At first I thought part a and c both converged but now after reading that "A sequence converges precisely when both the Im(z) and the Re(z) converge" which in this set of questions makes each of them converge. Is that correct?
Part b seems to repeat after 6ish n's and continues to repeat for large n which makes me think it doesn't converge.
Also would the limit for a and c be zero? as cos/sin are between -1 and 1 and (c) because sqrt(3)^n > sqrt(2) which is the norm of (1+i)
Thanks in Advance,