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1. Prove or disprove: Prove the true statements and give counter examples to the false ones. a. If {an} is strictly decreasing and 0 0

1. Prove or disprove: Prove the true statements and give counter examples to the false ones. a. If {an} is strictly decreasing and 0 0 as n -> co. b. If (n - 1) cos(n2 + n + 1) an 2n - 1 then an has a convergent subsequence

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