IMO Shortlist 1989 problem 4


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Dodao/la: arhiva
2. travnja 2012.
1989 shortlist
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Prove that \forall n > 1, n \in \mathbb{N} the equation \sum^n_{k=1} \frac{x^k}{k!} + 1 = 0 has no rational roots.
Izvor: Međunarodna matematička olimpijada, shortlist 1989