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In: Math

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

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, making sure to cite appropriate hypotheses/theorem(s) used. Hint : Try BMCT [WHY?].

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

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