Find all poles of $\displaystyle f(z)=\frac{\sin^2 z}{z^3+8i} $ and state the order of the poles.
Do I need to do a full Laurent expansion of this? Or is there an easier way?
EDIT: I guess it seems to have a pole of order 1 at $\displaystyle 2i$?
Find all poles of $\displaystyle f(z)=\frac{\sin^2 z}{z^3+8i} $ and state the order of the poles.
Do I need to do a full Laurent expansion of this? Or is there an easier way?
EDIT: I guess it seems to have a pole of order 1 at $\displaystyle 2i$?