Sequences (Real Analysis) | SE#8-9 | Monotone convergence theorem | sn+1=4+3sn/3+2sn & √(n+1)-√n

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Sequences (Real Analysis) | SE#8-9 | Monotone convergence theorem |

SE8 Show that the sequence defined by s1=1 and sn+1=4+3sn/3+2sn is convergent and find its limit.

SE9 Prove that the sequence whose nth term is an=√(n+1)-√n is bounded, monotone and convergent

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