Problem A. 634. (January 2015)
A. 634. Let \(\displaystyle n\ge2\) be a in integer and let \(\displaystyle f\colon \mathbb{R}\to[1,1]\) be an \(\displaystyle n\) times differentiable function. Show that the equation \(\displaystyle f^{(n)}(x)=0\) has at least \(\displaystyle n1\) distinct solutions.
(5 pont)
Deadline expired on 10 February 2015.
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