# Math Help - Simply Convergence

1. ## Simply Convergence

let $(f _n)_n \subset C^1((0,1), \Re)$ be a convergent sequence $f (0,1) \rightarrow \Re$
assume that $(f _n)_n \subset C^1 ((0,1), \Re)$ converges simply to $g=1$.
Do we have $f \in C^1\left((0,1), \Re \right)$ ?