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1 Problem 1. (8 pts) Determine whether the series converges or diverges. nvInn Problem 2. A sequence {an } is given by the recurrence relation

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1 Problem 1. (8 pts) Determine whether the series converges or diverges. nvInn Problem 2. A sequence {an } is given by the recurrence relation 01 = 2, Call = =(a, + 6), VnEN. (i) (7 pts) By mathematical induction, show that {an } is nondecreasing and bounded above by 6. Deduce that {an } is a convergent sequence. (ii) (4 pts) Calculate lim an

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