Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Singularities
Find the nature and location of singularities \(f\left( z \right) = \left( {z + 1} \right)\sin \frac{1}{{\left( {z - 1} \right)}}\)
1
removable; z = 1
2
essential, z = 1
3
pole of order 1; z = 1
4
removable, z = -1