.. This is a simple one by a newbie ..

[Mega-X]

Let $f : [a,b] -> RR^n, n>=1$ and let $f(x)$ be continuos and $k$ times differentiable in $[a,b]$, show that also $f^((i))(x), 1<= i <=k$ is continuos in $[a,b]$ (with the notation $f^((i))(x)$ i mean that the function is derived $i$ times..)

Enjoy..

[Mega-X]

oops i've forgot a particular..

$1 <= i <= k <= n$

[Mega-X]

ups I've written some stupids thing..

if a function is derivable in $[a,b]$ $k$ times is also continuos after $i$ derivation in $[a,b]$