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Results tagged with real-analysis
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user 81784
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Asymptotic for binomial sums
Let $S(n, t) = \sum_{k = 0}^n {n \choose k} ^t$.
The task is to find asymptotic behavior of $S(n,5)$, $n \to \infty$.
Asymptotic for $S(n,0)$ and $S(n,1)$ is very simple.
For $S(n,2)$ we can use c …
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