Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Complex Analysis Calculus of Residues
For z ≠ i let f(z) = exp(\(1\over z+i\)) - 1. Which of teh following are true?
1
f has finitely many zeros
2
f has a sequence of zeros that converges to a removal singularity of f
3
f has sequence of zeros that converges to a pole of f
4
f has sequence of zeros that converges to an essential singularity of f
5
Question Not Attempted