- #1
ChemEng1
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Homework Statement
Deduce that (P[0,1], norm(inf)) is not complete.
Homework Equations
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.