Question: Consider the sequence of real numbers a, a2, a3, ... defined by the rule az n 1. a+1 an+1 and a E R. E.g.,

Consider the sequence of real numbers a, a2, a3,... defined by the rule az n 1. a+1 an+1 and a E R. E.g., a2

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

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

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