How do you show that the closure of [a,b] is not closed in C0[a,b]?

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- March 26th 2010, 06:51 AMvinnie100closure
How do you show that the closure of [a,b] is not closed in C0[a,b]?

- March 26th 2010, 07:51 AMmabruka
C0[a,b] is .. the space of continuous functions with compact support..?

If the answer is affirmative then i cant help you, [a,b] is not a subset of C0[a,b] .

If the answer is negative then i cant help you since i dont know what you mean with C0[a,b].

Need context - March 26th 2010, 08:55 AMvinnie100
Sorry I got it all wrong!

Its meant to say:

Show that a p times continuously differentiable function is not closed in a 0 times continuous differentiable function. - March 26th 2010, 11:12 PMsouthprkfan1
- March 26th 2010, 11:30 PMDrexel28
- March 27th 2010, 01:01 AMmabrukaQuote:

What did you think he meant? I don't actually understand what he was asking for.

Prove that is not closed on

where is the set of functions with p continuous derivative on [a,b] and the set of continuous functions