EDB — 1N7

Exercises

1. [1N7] Note:Exercise 2, written exam March 2010.

   Let \(I⊆ ℝ\) be a not-empty open interval. Let \(f:I→ℝ\) be of class \(C^∞\), and such that \(∀ x∈ I,∀ k≥ 0\) we have \(f^{(k)}(x)≥ 0\). Prove that \(f\) is analytic.

   [ [1N8]↺↻]

   Solution 1

   [1N9]↺↻

   See also the exercise [1F9]↺↻.

   [ [1NB]↺↻]