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Results tagged with limits-and-convergence
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user 126667
Convergence of series, sequences and functions and different modes of convergence.
19
votes
Limits in category theory and analysis
In very special cases, the notions coincide. Let $R$ be the category (poset) whose objects are the real numbers and in which $Hom(x, y)$ has a single element if $x \leq y$ and is empty otherwise. Th …
- 30.3k
8
votes
Asymptotics of a Bernoulli-number-like function
If my computation is correct, then f(n, 2) should be roughly
$$\frac12 \sum_{k \in \mathbb{Z}} 2^{k+s} e^{-2^{k+s}}$$
where s = the fractional part of $\log_2 n$. (Note the terms of the sum decay r …
- 25.2k