4. (a) Show that if then 1 -an 0, n max{a₁, an} → 0. n (b) Prove that the converse of (4a) holds if (an) is bounded belo

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4 A Show That If Then 1 An 0 N Max A An 0 N B Prove That The Converse Of 4a Holds If An Is Bounded Belo 1 (15.71 KiB) Viewed 12 times

4. (a) Show that if then 1 -an 0, n max{a₁, an} → 0. n (b) Prove that the converse of (4a) holds if (an) is bounded below. (c) Give an example to show that the converse of (4a) is not always true.