question archive Suppose that s1 > 1 and define sn+1 = √ sn + 1 when n ≥ 1

Suppose that s1 > 1 and define sn+1 = √ sn + 1 when n ≥ 1

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Suppose that s1 > 1 and define sn+1 = √ sn + 1 when n ≥ 1. Use mathematical induction to prove that 1 < sn+1 < sn holds for all n ∈ N. Does {sn} converge? If so, what is the limit?

 

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