Dividing f(z) by z−i, we obtain the remainder i and dividing it by z+i, we get the remainder 1+i. The remainder upon the division of
f(z) by z²+1 is
A 1/2(z+1)+i
B 1/2(iz+1)+i
C 1/2(iz−1)+i
D 1/2(z+1)+i