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Results tagged with limits-and-convergence
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user 38620
Convergence of series, sequences and functions and different modes of convergence.
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answer
363
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Does the limit of $x_n$, defined by $x_{n+1}=1/(m+1-nx_n)$ exist?
Let $m$ be positive integer, and consider the recursion
$$x_{n+1}=\frac{1}{m+1-nx_n}.$$
Does the limit of $x_n$ exist?
I'm guessing the limit doesn't exists for any $m$.
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