I have to show that the set: $$M :=\{f\in C[0,1]:\exists L \gt 0 \: \forall x,y \in [0,1] \space \space \space |f(x)-f(y)| \leq L|x-y| \} $$ is dense in $(C[0,1],|| \cdot| |_\infty)$
Any ideas? Thanks in advance.
2026-03-30 12:25:47.1774873547
Show that a Set is dense in $(C[0,1],|| \cdot| |_\infty)$
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