Question: For the positive sequence (an), it is given that there exist numbers N and a such that a N. % Prove that (an) is eventually

For the positive sequence (an), it is given that there exist numbers N and a such that a N. % Prove that (an) is eventually decreasing and that an > 0 as n > 00. Give an example to show that if we relax this condition and only have an+1 an 0N then we cannot conclude that an > 0

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