2. Consider the following bounded and increasing sequence: a₁ = √3 a2 V √3+√√3 a3 = √√3+√3+√3 √√3+ an+1 = √3+ an Answer the following questions: (a) Show that the sequence converges and find its limit. (b) Answer the same question when 3 is replaced by an arbitrary integer k ≥ 2.

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