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Results tagged with limits-and-convergence
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user 51778
Convergence of series, sequences and functions and different modes of convergence.
2
votes
5
answers
940
views
Binomial series
I am interested in the limit $\frac{\sum_{k=0}^n \sqrt{k}\cdot\binom{n}{k}}{\sqrt{n}\cdot2^n}$ as $n$ goes to infinity. Any reference or argument?
In general what do we know about the asymptotic behav …
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