New posts in factorial

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

notation factorial gamma-function computer-algebra-systems

Is $0! = 1$ because there is only one way to do nothing?

factorial products

Prove elementarily that $\sqrt[n+1] {(n+1)!} - \sqrt[n] {n!}$ is strictly decreasing

sequences-and-series inequality factorial radicals

Showing that $\frac{\sqrt[n]{n!}}{n}$ $\rightarrow \frac{1}{e}$ [duplicate]

real-analysis sequences-and-series limits radicals factorial

A closed form of $\sum_{k=1}^\infty\frac{(-1)^{k+1}}{k!}\Gamma^2\left(\frac{k}{2}\right)$

calculus sequences-and-series summation factorial gamma-function

What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?

calculus real-analysis sequences-and-series exponential-function factorial

Expressing a factorial as difference of powers: $\sum_{r=0}^{n}\binom{n}{r}(-1)^r(l-r)^n=n!$?

summation binomial-coefficients factorial

What's the limit of the sequence $\lim\limits_{n \to\infty} \frac{n!}{n^n}$?

real-analysis sequences-and-series limits exponentiation factorial

Do factorials really grow faster than exponential functions? [closed]

factorial exponential-function

$n!$ is never a perfect square if $n\geq2$. Is there a proof of this that doesn't use Chebyshev's theorem?

number-theory prime-numbers factorial alternative-proof

How to prove that $\lim \frac{1}{n} \sqrt[n]{(n+1)(n+2)... 2n} = \frac{4}{e}$

calculus integration limits factorial radicals

If $n\ne 4$ is composite, then $n$ divides $(n-1)!$.

elementary-number-theory modular-arithmetic divisibility factorial

Prove the inequality $n! \geq 2^n$ by induction

inequality induction proof-writing factorial

Show that if $n>2$, then $(n!)^2>n^n$.

inequality exponentiation factorial faq

Is there a function that grows faster than exponentially but slower than a factorial?

asymptotics factorial computational-complexity

The product of $n$ consecutive integers is divisible by $ n!$ (without using the properties of binomial coefficients)

elementary-number-theory divisibility factorial

Could this approximation be made simpler ? Solve $n!=a^n 10^k$

inequality numerical-methods approximation factorial lambert-w

Prove $0! = 1$ from first principles

algebra-precalculus factorial faq

$\lim\limits_{n \to{+}\infty}{\sqrt[n]{n!}}$ is infinite

real-analysis sequences-and-series limits factorial radicals

How could we define the factorial of a matrix?

linear-algebra matrices operator-theory factorial matrix-calculus