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How to prove that $C^k(\Omega)$ is not complete
May i ask you for a little help about the following problem.
Consider $C([0,1])$ with the metric $d_{L^{2}}:=\left(\int_{0}^{1}\left|f(x)-g(x)\right|^{2} dx \right )^{1/2}$ What i have to show is that this metric space is not complete.
I have to find a Cauchy sequence that does not converge, but i have difficulties with finding an example of such function.
Thank you in advance.