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Calculus and Beyond Homework Help
Convergence of a recursive sequence
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[QUOTE="Mr Davis 97, post: 6059768, member: 515461"] But the sequence ##(3,3,3,3, \dots)## does not converge to ##1##. What I thought I showed was that if the sequence did converge, it would have to converge to ##1##, and that in the case that ##a_1 \ge 2##, the sequence is bounded below by 2, and so couldn't possibly converge to ##1##. Hence it doesn't necessarily converge with ##a_1 \in \mathbb{N}##. [/QUOTE]
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Convergence of a recursive sequence
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