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  3. let {an} be a sequence defined recursively by a1 =

Let {an} be a sequence defined recursively by a1 = 1 and an+1 = 2√ 1...

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Basic Math

Let {an} be a sequence defined recursively by a1 = 1 and an+1 =2√ 1 + an where n ∈ N

(b) Does {an} converge or diverge? Justify your answer, makingsure to cite appropriate hypotheses/theorem(s) used. Hint : TryBMCT [WHY?].

(c) (Challenge) If {an} converges then find its limit. Make sureto fully justify your answer.

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