# Determine the singularities and evaluate residues

 Quote by brydustin 1. The problem statement, all variables and given/known data $$f(z) = \frac{z*exp(+i*z)}{z^2+a^2}$$ 2. Relevant equations $$Res(f,z_0) = lim_z->z_0 (1/(m-1)!) d^{m-1}/dz^{m-1} {(z-z_o)^m f(z)}$$ 3. The attempt at a solution I have no clue how to do this because I don't know how to determine the order of the pole for a function of this form. For example, I could easily do this for a function like $(1/(z^2+a^2))$