(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let Ce([0,1], R) be the set of even functions in C([0,1], R), show that Ce is closed and not dense in C.

2. Relevant equations

3. The attempt at a solution

I think I can solve this if I can show that even functions converge to even functions, but I can't quite figure out how to go about doing this...

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# Homework Help: Space of continuous functions

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