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Determine the location and nature singularities in the finite z plane of the following functions: a) f(z) = (z^2 - 1) cos(z) / [ z(z-1)(z-2)(z-3)]; b) g(z) = [sin(2z)] / z^15.

Determine the location and nature singularities in the finite z plane of the following functions:


a) f(z) = (z^2 - 1) cos(z) / [ z(z-1)(z-2)(z-3)];


b) g(z) = [sin(2z)] / z^15.

Grade:12

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