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limit of $2n$-th root of $2n$-th central binomial coefficient -- $\lim_{n\to \infty}{2n \choose n}^{\frac{1}{2n}}$

score 507 · Answer 1 · 2014-04-15 15:25:32

507

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limit of $2n$-th root of $2n$-th central binomial coefficient -- $\lim_{n\to \infty}{2n \choose n}^{\frac{1}{2n}}$

Published on 15 Apr 2014 - 15:25

score 36 · Answer 2 · 2014-04-15 16:15:24

36

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Count no. Of ways

Published on 15 Apr 2014 - 16:15

score 774 · Answer 3 · 2026-03-25 23:25:31

774

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Integral equation involving Binomial distribution

Published on 25 Mar 2026 - 23:25

score 120 · Answer 4 · 2014-04-17 09:51:54

120

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Is there a simpler way to compute this sum?

Published on 17 Apr 2014 - 9:51

score 69 · Answer 5 · 2014-04-17 17:46:26

69

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Find the formula for the given sum of series

Published on 17 Apr 2014 - 17:46

score 5.2k · Answer 6 · 2026-03-28 06:40:33

5.2k

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number of terms in the expansion containing powers of $x$

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score 1.9k · Answer 7 · 2014-04-20 09:34:04

1.9k

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Sum of binomial coefficients with three variables

Published on 20 Apr 2014 - 9:34

score 152 · Answer 8 · 2014-04-20 17:32:37

152

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Likelihood of Two Binomial Distributed RV's

Published on 20 Apr 2014 - 17:32

score 23.3k · Answer 9 · 2026-03-26 04:51:41

23.3k

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Combinatorial explanation for why $n^2 = {n \choose 2} + {n+1 \choose 2}$

Published on 26 Mar 2026 - 4:51

score 396 · Answer 10 · 2014-04-21 15:29:25

396

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Binomial coefficients in series

Published on 21 Apr 2014 - 15:29

score 572 · Answer 11 · 2014-04-22 03:58:59

572

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Addition of Binomial Coefficients

Published on 22 Apr 2014 - 3:58

score 4.3k · Answer 12 · 2014-04-22 22:04:08

4.3k

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How do I begin proving this binomial coefficient identity: ${n\choose 0} - {n\choose 1} + {n\choose 2} - {n\choose 3} + \dots = 0$

Published on 22 Apr 2014 - 22:04

score 82 · Answer 13 · 2014-04-22 23:45:38

82

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How prove $\binom{n}{m}\le\left(\frac{en}{m}\right)^m$

Published on 22 Apr 2014 - 23:45

score 81 · Answer 14 · 2026-03-28 22:13:44

81

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Is $n\binom{\epsilon n}{t}>t\binom{n}{t}$ for large $n$ and fixed $\epsilon$ and $t$

Published on 28 Mar 2026 - 22:13

score 1.1k · Answer 15 · 2026-03-28 22:08:21

1.1k

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Asymptotics of sum of Binomial Coefficients (Binomial distribution) - Poisson approximation?

Published on 28 Mar 2026 - 22:08

List Question

limit of $2n$-th root of $2n$-th central binomial coefficient -- $\lim_{n\to \infty}{2n \choose n}^{\frac{1}{2n}}$

Count no. Of ways

Integral equation involving Binomial distribution

Is there a simpler way to compute this sum?

Find the formula for the given sum of series

number of terms in the expansion containing powers of $x$

Sum of binomial coefficients with three variables

Likelihood of Two Binomial Distributed RV's

Combinatorial explanation for why $n^2 = {n \choose 2} + {n+1 \choose 2}$

Binomial coefficients in series

Addition of Binomial Coefficients

How do I begin proving this binomial coefficient identity: ${n\choose 0} - {n\choose 1} + {n\choose 2} - {n\choose 3} + \dots = 0$

How prove $\binom{n}{m}\le\left(\frac{en}{m}\right)^m$

Is $n\binom{\epsilon n}{t}>t\binom{n}{t}$ for large $n$ and fixed $\epsilon$ and $t$

Asymptotics of sum of Binomial Coefficients (Binomial distribution) - Poisson approximation?

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