Let f : ℂ → ℂ be an entire function such that limZ→0 \(\left|f\left(\frac{1}{z}\right)\right| \) = \(\infty \text {}\). Then which of the following is true?
1
f is constant
2
f can have infinitely many zeros
3
f can have at most finitely many zeros
4
f is necessarily nowhere vanishing
5
Question Not Attempted