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.
