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Convergence of series, sequences and functions and different modes of convergence.
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votes
What is the limit of $a (n + 1) / a (n)$?
The value is close to $e$ but not. It's actually the positive real root of $p(t) := t^3 - 2t^2 + t - 8$. This is solvable via ACSV (see book by Pemantle and Wilson 2013). To summarize, the bivariat …