f is continues on [a,b]
A={x in [a,b]|f(x)=f(a)}
prove that f(x) has a maximum
f(supA)=f(a)
??
first of all there are two kinds of maximums here
1st a supremum which is inside [a,b] is called maximum
and maximum of the function values
correct??
f is continues on [a,b]
A={x in [a,b]|f(x)=f(a)}
prove that f(x) has a maximum
f(supA)=f(a)
??
first of all there are two kinds of maximums here
1st a supremum which is inside [a,b] is called maximum
and maximum of the function values
correct??