
#1
Dec108, 02:26 PM

P: 1,399

A is a non empty group which is bounded from the top.
prove that S=sup A if and only if S is the upper bound of of A and there i a series of numbers An (An which belongs to A) so An>S i was proposed a general solution: presume that supA=S show that there is a series An (An belongs to A) so lim An=s (n goes to infinity) and there is a sketch here: http://img66.imageshack.us/img66/3286/img9144rf7.jpg how to make a formal proof for it?? 


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