## To show that $C^2 (0,1)$ is not complete with respect to the $C^1$ norm. December 1

I want to show that $C^2$([0,1]) is not complete with respect to the $C^1$ norm.Recall that $||f||_{C^1}$ = $||f||_\infty$+$||f'||_\infty$.I can come up with counter-examples of why $C^1$[0,1] is not complete w.r.t the sup norm with $f_n=(x+\frac{1}{