Question

How do I get variable x inside this summation formula?

score 48 · Answer 1 · 2020-03-25 02:32:38

48

Views

How do I get variable x inside this summation formula?

Published on 25 Mar 2020 - 2:32

score 99 · Answer 2 · 2020-03-26 16:40:16

99

Views

How to show that $\sum_{n=0}^{N}\frac{(-1)^n}{{(N+n)!}(N-n)!}=\frac{1}{2N!^2}$?

Published on 26 Mar 2020 - 16:40

score 339 · Answer 3 · 2020-03-28 15:36:42

339

Views

What is $\lim_{n\to \infty }\left(\sqrt[\leftroot{-2}\uproot{2}n+1]{(n+1)!}-\sqrt[\leftroot{-2}\uproot{2}n]{n!}\right)$?

Published on 28 Mar 2020 - 15:36

score 86 · Answer 4 · 2026-03-29 02:31:21

86

Views

To determine multiplicity of $2$ in $n!$

Published on 29 Mar 2026 - 2:31

score 68 · Answer 5 · 2026-03-29 02:20:48

68

Views

Is the sequence infinite? Finite? Is there a general formula to determine n th term?

Published on 29 Mar 2026 - 2:20

score 191 · Answer 6 · 2020-03-30 01:53:50

191

Views

Computing $\lim_{n \to \infty} \left[\left(\prod_{i=1}^{n}i!\right)^{1\over n^{2}} (n^{x})\right] $ if exists for certain $x\in\mathbb R$

Published on 30 Mar 2020 - 1:53

score 167 · Answer 7 · 2020-03-30 18:44:42

167

Views

Understanding Why a Limit (w/ Factorials) Approaches 0

Published on 30 Mar 2020 - 18:44

score 46 · Answer 8 · 2020-03-30 21:14:47

46

Views

Show that $\binom{n+1}{r} = \binom{n}{r} +\binom{n}{r-1}$ for $1 ≤ r ≤ n$.

Published on 30 Mar 2020 - 21:14

score 346 · Answer 9 · 2020-04-02 11:57:23

346

Views

Prove there exist n that satisfies $S_n = 1! + 2! + .... +n!$ have prime divisor greater than $10^{2020}$.

Published on 02 Apr 2020 - 11:57

score 948 · Answer 10 · 2020-04-02 12:36:22

948

Views

What is the largest positive integer $n$ in that $3^n$ is a factor of $200!$?

Published on 02 Apr 2020 - 12:36

score 60 · Answer 11 · 2020-04-03 00:19:16

60

Views

Evaluating a limit with combinations

Published on 03 Apr 2020 - 0:19

score 216 · Answer 12 · 2026-03-27 19:33:27

216

Views

Proof that $\pi =\lim_{n\to\infty}\frac{2^{4n}n!^4}{n(2n)!^2}$

Published on 27 Mar 2026 - 19:33

score 60 · Answer 13 · 2026-03-29 10:12:15

60

Views

Exact value or approximation for double sum function

Published on 29 Mar 2026 - 10:12

score 70 · Answer 14 · 2020-04-04 12:03:12

70

Views

Find exact value or approximation for double sum function

Published on 04 Apr 2020 - 12:03

score 45 · Answer 15 · 2026-03-28 11:54:05

45

Views

If $F(n)$ is the unique number of arranging $n \ge 1$ unique items, prove inductively that $F(n) = n!$

Published on 28 Mar 2026 - 11:54

List Question

How do I get variable x inside this summation formula?

How to show that $\sum_{n=0}^{N}\frac{(-1)^n}{{(N+n)!}(N-n)!}=\frac{1}{2N!^2}$?

What is $\lim_{n\to \infty }\left(\sqrt[\leftroot{-2}\uproot{2}n+1]{(n+1)!}-\sqrt[\leftroot{-2}\uproot{2}n]{n!}\right)$?

To determine multiplicity of $2$ in $n!$

Is the sequence infinite? Finite? Is there a general formula to determine n th term?

Computing $\lim_{n \to \infty} \left[\left(\prod_{i=1}^{n}i!\right)^{1\over n^{2}} (n^{x})\right] $ if exists for certain $x\in\mathbb R$

Understanding Why a Limit (w/ Factorials) Approaches 0

Show that $\binom{n+1}{r} = \binom{n}{r} +\binom{n}{r-1}$ for $1 ≤ r ≤ n$.

Prove there exist n that satisfies $S_n = 1! + 2! + .... +n!$ have prime divisor greater than $10^{2020}$.

What is the largest positive integer $n$ in that $3^n$ is a factor of $200!$?

Evaluating a limit with combinations

Proof that $\pi =\lim_{n\to\infty}\frac{2^{4n}n!^4}{n(2n)!^2}$

Exact value or approximation for double sum function

Find exact value or approximation for double sum function

If $F(n)$ is the unique number of arranging $n \ge 1$ unique items, prove inductively that $F(n) = n!$

Trending Questions

Popular # Hahtags

Popular Questions