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edited Sep 27, 2022 at 11:02

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Does the limit of $x_n$, defined by $x_{n+1}=1/(m+1-nx_n)$ exist?

$m$ is an positive integer,

$$x_{n+1}=\frac{1}{m+1-nx_n}$$

Does the limit of $x_n$ exist?

I'm guessing the limit doesn't exists for any $m$

ca.classical-analysis-and-odes sequences-and-series limits-and-convergence

asked Sep 27, 2022 at 0:47

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