Mathematics · Complex Analysis
Let f be an entire function on the complex plane which is not a polynomial. Let A = {α ∈ &complex; | f(n)(α) ≠ 0 for all n ≥ 0}. Which of the following statements is true?
- 1A is empty
- 2A is finite
- 3A is countably infinite
- 4A is uncountable✓
Correct answer
A is uncountable
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