Show that is continuous at iff for every , there exist such that , we have So I can replace the definition < with ?
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Originally Posted by tttcomrader Show that is continuous at iff for every , there exist such that , we have So I can replace the definition < with ? I am not sure that I follow your question. Do note that the tradition definition is for “<”. However, it is also , that is for all. So
I asked the professor today and he said this problem is suppose to show that the two definitions for continuity are equiv. Well, from the last post I understand how to go from to < How to do this the other way around is killing me... Any hints? Thanks.
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