Construct examples to show that for a continuous function f (x) defined over
a set S in R^n, closedness and boundedness of sare both necessary for Weierstrass’ maximum theorem to hold. That is, give concrete examples to show that when any of the
two conditions does not hold f (X) may fail to attain a maximum over S.
Most Helpful Guy
I'm not going to proving a theorem for you. Check YouTube. I'm sure someone has already done it on there.1