Rational Solver
0 votes
8 views
Let $f: \mathbb{C} \rightarrow \mathbb{C}$ be an entire function such that $\lim _{z \rightarrow 0}\left|f\left(\frac{1}{z}\right)\right|=\infty$. 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
in Complex Analysis by Expert (2.4k points) | 8 views

Please log in or register to answer this question.

Welcome to Rational Solver, where you can ask questions and receive answers from other members of the community.
49 questions
8 answers
1 comment
1,546 users