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

Deduce that (P[0,1], norm(inf)) is not complete.

2. Relevant equations

3. The attempt at a solution

I am not really sure how to start this.

My strongest instinct is to find a polynomial that converges to something that isn't a polynomial (discontinuous, trigonometric, or whatever). I have no tools to find such a polynomial without the 'needle in a haystack' approach.

Every Cauchy sequence is bounded, so trying to find an unbounded element of P[0,1] is out.

Any direction to steer this ship in would be appreciated.

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# Homework Help: Deduce that (P[0,1], norm(inf)) is not complete.

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