(1) If is a removable singularity, then right?
(2) If has a pole of order then with . The numerator of the second one is zero at z=1. So it's not as simple as it looks. Need to factor the numerator:
. That just looks like a removable singularity right but we could check that by (1) above:
The third one has a pole of order 1 at z=-2 by (2).