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Office_Shredder

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In order to challenge a broader section of the forum, there is a part a and a part b to this challenge - if you feel that part b is an appropriate challenge, then I request you do not post a solution to part a as part a is a strictly easier question than part b.

The new challenge: Are there any infinite subsets of ℂ on which e

The old challenge: Prove there is no infinite subset of ℂ on which e

The new challenge: Are there any infinite subsets of ℂ on which e

^{x}is equal to a non-constant polynomial?The old challenge: Prove there is no infinite subset of ℂ on which e

^{x}is equal to a polynomial (or make me look foolish and produce a counterexample)
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