Consider the sequence of real numbers a, a2, a3, ... defined by the rule az n...

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Consider the sequence of real numbers a₁, a2, a3, ... defined by the rule az n≥ 1. a²+1 an+1 and a₁ E R. E.g., a2 = a3 = etc. a²+1' (a) Is the sequence convergent or divergent? Does this depend on the choice of a₁? (b) If the sequence converges, find its limit. Does the limit depend on the choice of a₁? Consider the sequence of real numbers a₁, a2, a3, ... defined by the rule az n≥ 1. a²+1 an+1 and a₁ E R. E.g., a2 = a3 = etc. a²+1' (a) Is the sequence convergent or divergent? Does this depend on the choice of a₁? (b) If the sequence converges, find its limit. Does the limit depend on the choice of a₁?

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Consider the sequence 91 92 93 rule and aEK lig Whatener NOW GATI an cleanly lim 130 for all ... View the full answer