grandes-ecoles 2013 Q1b

grandes-ecoles · France · x-ens-maths2__mp Not Maths Uniform or Pointwise Convergence of Function Series/Sequences

Let $f \in \mathcal{C}$. If $f$ is differentiable at $x_{0}$, show that $f \in \Gamma^{s}(x_{0})$ for all $s \in [0,1[$.

Let $f \in \mathcal{C}$. If $f$ is differentiable at $x_{0}$, show that $f \in \Gamma^{s}(x_{0})$ for all $s \in [0,1[$.