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.