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Q79Section C (Part C)79 of 120

Points where no derivative of an entire non-polynomial vanishes

Let ff be an entire function which is not a polynomial. Let

A={α∈C∣f(n)(α)≠0 for all n≥0}.A=\{\alpha\in\mathbb C\mid f^{(n)}(\alpha)\neq0\text{ for all }n\ge0\}.

Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.