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Classify the singularities of each of the following functions (Poles, Removable,or Essential), show the power series...

Classify the singularities of each of the following functions (Poles, Removable,or Essential), show the power series expension.

(a) z/sin(z)

(b) e^(1/z)

(c) z cos(1/z)

(d) 1/[z(e^(z) − 1)]

(e) sin^2(z)/z^4

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