Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Complex Variables Singularities
Consider the function \(f(z) = \dfrac{z- \sin z}{z^3}\). Which of the following statements is true?
1
z = 0 is a removable singularity and the Laurent series converges for all z except at z = 0, ±1
2
z = 0 is not a removable singularity
3
z = 0 is a removable singularity and the Laurent series does not converge at any point
4
z = 0 is a removable singularity and the Laurent series converges for all values of z
5
Question Not Attempted