1. For each of the following functions f , find the isolated singularities of f and classify each as a removable singularity, a pole, or an essential singularity. If a singularity is a pole, determine...

1. For each of the following functions
f
, find the isolated singularities of
f
and classify each as a removable singularity, a pole, or an essential singularity. If a singularity is a pole, determine its order. If a singularity is removable, assign a value to
f
at that point to make
f
analytic there.

z4
−

z3

(b)
f
(z) = cos 1

z

(c)
f
(z) = cot
z

(d)
f
(z) =
z

sin2
z

(e)
f
(z) = 1

1
−

e
z

z2