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

Suppose I have a set E that contains all continuous function f from [a,b] --> R, I think this is unbounded, but can I prove it?

2. Relevant equations

d(f1,f2)= sup{f1(x)-f2(x)}

3. The attempt at a solution

I want to show |d(f1,f2)|>M for some M, but I don't know if this is the right direction and how to do it

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# How to prove a set is unbounded

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