Question

Show that $y^{(n)}=\frac{m!a^n}{(m-n)!}(ax+b)^{m-n}$

score 80 · Answer 1 · 2021-07-07 09:51:50

80

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Show that $y^{(n)}=\frac{m!a^n}{(m-n)!}(ax+b)^{m-n}$

Published on 07 Jul 2021 - 9:51

score 105 · Answer 2 · 2026-04-06 14:35:02

105

Views

Proving loose lower and upper bounds

Published on 06 Apr 2026 - 14:35

score 87 · Answer 3 · 2021-07-08 05:05:07

87

Views

If , $\frac{5}{7}=\frac{a_2}{2!}+\frac{a_3}{3!}+.........+\frac{a_7}{7!}$ . For , $a_i\in\mathbb Z^+$ & $a_i<i$ . Find $a_2+a_3+......+a_7$?

Published on 08 Jul 2021 - 5:05

score 231 · Answer 4 · 2026-04-12 17:31:34

231

Views

How to use Stirling's approximation in this limit?

Published on 12 Apr 2026 - 17:31

score 78 · Answer 5 · 2026-04-13 02:12:25

78

Views

If $N$ is a perfect square and a divisor of $15!$, what is the greatest possible value of $N$?

Published on 13 Apr 2026 - 2:12

score 109 · Answer 6 · 2021-07-15 08:47:24

109

Views

Show that $\lim_{n \to \infty} \frac{((n-1)!)! (n-1)!^{n!}}{(n!)!} = 0$

Published on 15 Jul 2021 - 8:47

score 420 · Answer 7 · 2026-04-10 13:13:33

420

Views

Desmos factorial error

Published on 10 Apr 2026 - 13:13

score 313 · Answer 8 · 2026-04-11 10:37:00

313

Views

Why is $\sum_k \frac{\lambda^k}{k!} A^k = $ exp$(\lambda A)$?

Published on 11 Apr 2026 - 10:37

score 124 · Answer 9 · 2026-04-12 14:09:49

Is there any special function that can be related to a generalized falling factorial as the gamma function relates to the ordinary falling factorial?

score 19.7k · Answer 10 · 2026-04-09 17:15:01

19.7k

Views

Why does "Turn! Turn! Turn!" equal 241217.524881?

Published on 09 Apr 2026 - 17:15

score 175 · Answer 11 · 2026-04-13 00:44:13

175

Views

What is the order of magnitude of $\sum\limits_{n=1}^kn\binom{k}{n}\frac{(2k-2n-1)!!}{(2k-1)!!}$ as $k\to\infty$?

Published on 13 Apr 2026 - 0:44

score 546 · Answer 12 · 2021-07-30 15:13:23

546

Views

Solve for $x$: $ 4^{4x}-4^x=(4x)!$

Published on 30 Jul 2021 - 15:13

score 247 · Answer 13 · 2026-04-09 15:01:44

247

Views

Intuition behind division in permutation

Published on 09 Apr 2026 - 15:01

score 142 · Answer 14 · 2026-04-12 19:12:57

142

Views

Another formula for $n$-th root of $n$ factorial, approximate or exact?

Published on 12 Apr 2026 - 19:12

score 182 · Answer 15 · 2026-04-12 19:17:52

182

Views

Infinite series involving generalized binomial coefficients and double factorial

Published on 12 Apr 2026 - 19:17

List Question

Show that $y^{(n)}=\frac{m!a^n}{(m-n)!}(ax+b)^{m-n}$

Proving loose lower and upper bounds

If , $\frac{5}{7}=\frac{a_2}{2!}+\frac{a_3}{3!}+.........+\frac{a_7}{7!}$ . For , $a_i\in\mathbb Z^+$ & $a_i<i$ . Find $a_2+a_3+......+a_7$?

How to use Stirling's approximation in this limit?

If $N$ is a perfect square and a divisor of $15!$, what is the greatest possible value of $N$?

Show that $\lim_{n \to \infty} \frac{((n-1)!)! (n-1)!^{n!}}{(n!)!} = 0$

Desmos factorial error

Why is $\sum_k \frac{\lambda^k}{k!} A^k = $ exp$(\lambda A)$?

Is there any special function that can be related to a generalized falling factorial as the gamma function relates to the ordinary falling factorial?

Why does "Turn! Turn! Turn!" equal 241217.524881?

What is the order of magnitude of $\sum\limits_{n=1}^kn\binom{k}{n}\frac{(2k-2n-1)!!}{(2k-1)!!}$ as $k\to\infty$?

Solve for $x$: $ 4^{4x}-4^x=(4x)!$

Intuition behind division in permutation

Another formula for $n$-th root of $n$ factorial, approximate or exact?

Infinite series involving generalized binomial coefficients and double factorial

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