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Let $m$ is anbe positive integer, and consider the recursion
$$x_{n+1}=\frac{1}{m+1-nx_n}$$$$x_{n+1}=\frac{1}{m+1-nx_n}.$$
Does the limit of $x_n$ exist?
I'm guessing the limit doesn't exists for any $m$.
$m$ is an positive integer,
$$x_{n+1}=\frac{1}{m+1-nx_n}$$
I'm guessing the limit doesn't exists for any $m$
Let $m$ be positive integer, and consider the recursion
$$x_{n+1}=\frac{1}{m+1-nx_n}.$$
m$m$ is an positive integer,
m is an positive integer,