The problem involves a sequence where the limit of the terms approaches L as n approaches infinity. The task is to demonstrate that the average of the first n terms of the sequence also approaches L.
The discussion includes attempts to clarify the proof requirements, with some participants offering insights into the limit definitions. There is an acknowledgment of the need for a more rigorous approach involving epsilon-delta arguments.
Participants note the importance of adhering to formal definitions in limit proofs and express concerns about the adequacy of informal reasoning.
economist1985 said:Sheesh, should have seen that. Thanks!